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Finding the Third Proportional to 399,217,476 and 873,691,716

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Solution

The third proportional to 399,217,476 and 873,691,716 is: 1,912,083,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,217,476 : 873,691,716 = 873,691,716 : x
  2. Step 2: Convert to fraction form
    399,217,476/873,691,716 = 873,691,716/x
  3. Step 3: Cross multiply
    399,217,476x = 873,691,716 × 873,691,716
  4. Step 4: Simplify right side
    399,217,476x = 763,337,214,607,024,640
  5. Step 5: Solve for x
    x = 763,337,214,607,024,640/399,217,476
  6. Step 6: Final answer
    x = 1,912,083,664.91

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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.