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Finding the Third Proportional to 311,909 and 656,413

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Solution

The third proportional to 311,909 and 656,413 is: 1,381,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,909 : 656,413 = 656,413 : x
  2. Step 2: Convert to fraction form
    311,909/656,413 = 656,413/x
  3. Step 3: Cross multiply
    311,909x = 656,413 × 656,413
  4. Step 4: Simplify right side
    311,909x = 430,878,026,569
  5. Step 5: Solve for x
    x = 430,878,026,569/311,909
  6. Step 6: Final answer
    x = 1,381,422.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.