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Finding the Third Proportional to 407,446 and 611,937

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Solution

The third proportional to 407,446 and 611,937 is: 919,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,446 : 611,937 = 611,937 : x
  2. Step 2: Convert to fraction form
    407,446/611,937 = 611,937/x
  3. Step 3: Cross multiply
    407,446x = 611,937 × 611,937
  4. Step 4: Simplify right side
    407,446x = 374,466,891,969
  5. Step 5: Solve for x
    x = 374,466,891,969/407,446
  6. Step 6: Final answer
    x = 919,058.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.