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Finding the Third Proportional to 345,559 and 515,674

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Solution

The third proportional to 345,559 and 515,674 is: 769,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,559 : 515,674 = 515,674 : x
  2. Step 2: Convert to fraction form
    345,559/515,674 = 515,674/x
  3. Step 3: Cross multiply
    345,559x = 515,674 × 515,674
  4. Step 4: Simplify right side
    345,559x = 265,919,674,276
  5. Step 5: Solve for x
    x = 265,919,674,276/345,559
  6. Step 6: Final answer
    x = 769,534.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.