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Finding the Third Proportional to 642,452,682.75 and 866,819,505.75

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Solution

The third proportional to 642,452,682.75 and 866,819,505.75 is: 1,169,543,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,452,682.75 : 866,819,505.75 = 866,819,505.75 : x
  2. Step 2: Convert to fraction form
    642,452,682.75/866,819,505.75 = 866,819,505.75/x
  3. Step 3: Cross multiply
    642,452,682.75x = 866,819,505.75 × 866,819,505.75
  4. Step 4: Simplify right side
    642,452,682.75x = 751,376,055,548,674,304
  5. Step 5: Solve for x
    x = 751,376,055,548,674,304/642,452,682.75
  6. Step 6: Final answer
    x = 1,169,543,027.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.