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Finding the Third Proportional to 316,573,509.38 and 687,643,350.75

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Solution

The third proportional to 316,573,509.38 and 687,643,350.75 is: 1,493,660,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,573,509.38 : 687,643,350.75 = 687,643,350.75 : x
  2. Step 2: Convert to fraction form
    316,573,509.38/687,643,350.75 = 687,643,350.75/x
  3. Step 3: Cross multiply
    316,573,509.38x = 687,643,350.75 × 687,643,350.75
  4. Step 4: Simplify right side
    316,573,509.38x = 472,853,377,830,687,552
  5. Step 5: Solve for x
    x = 472,853,377,830,687,552/316,573,509.38
  6. Step 6: Final answer
    x = 1,493,660,599.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.