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Finding the Third Proportional to 399,217,478 and 873,691,720

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Solution

The third proportional to 399,217,478 and 873,691,720 is: 1,912,083,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,217,478 : 873,691,720 = 873,691,720 : x
  2. Step 2: Convert to fraction form
    399,217,478/873,691,720 = 873,691,720/x
  3. Step 3: Cross multiply
    399,217,478x = 873,691,720 × 873,691,720
  4. Step 4: Simplify right side
    399,217,478x = 763,337,221,596,558,336
  5. Step 5: Solve for x
    x = 763,337,221,596,558,336/399,217,478
  6. Step 6: Final answer
    x = 1,912,083,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.