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Finding the Third Proportional to 488,909 and 657,911

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Solution

The third proportional to 488,909 and 657,911 is: 885,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,909 : 657,911 = 657,911 : x
  2. Step 2: Convert to fraction form
    488,909/657,911 = 657,911/x
  3. Step 3: Cross multiply
    488,909x = 657,911 × 657,911
  4. Step 4: Simplify right side
    488,909x = 432,846,883,921
  5. Step 5: Solve for x
    x = 432,846,883,921/488,909
  6. Step 6: Final answer
    x = 885,332.21

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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.