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Finding the Third Proportional to 657,479 and 890,962

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Solution

The third proportional to 657,479 and 890,962 is: 1,207,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,479 : 890,962 = 890,962 : x
  2. Step 2: Convert to fraction form
    657,479/890,962 = 890,962/x
  3. Step 3: Cross multiply
    657,479x = 890,962 × 890,962
  4. Step 4: Simplify right side
    657,479x = 793,813,285,444
  5. Step 5: Solve for x
    x = 793,813,285,444/657,479
  6. Step 6: Final answer
    x = 1,207,359.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.