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Finding the Third Proportional to 639,986,738,250 and 924,670,318,674

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Solution

The third proportional to 639,986,738,250 and 924,670,318,674 is: 1,335,988,930,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,986,738,250 : 924,670,318,674 = 924,670,318,674 : x
  2. Step 2: Convert to fraction form
    639,986,738,250/924,670,318,674 = 924,670,318,674/x
  3. Step 3: Cross multiply
    639,986,738,250x = 924,670,318,674 × 924,670,318,674
  4. Step 4: Simplify right side
    639,986,738,250x = 855,015,198,236,676,710,203,392
  5. Step 5: Solve for x
    x = 855,015,198,236,676,710,203,392/639,986,738,250
  6. Step 6: Final answer
    x = 1,335,988,930,918.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.