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Finding the Third Proportional to 440,766 and 654,669

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Solution

The third proportional to 440,766 and 654,669 is: 972,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,766 : 654,669 = 654,669 : x
  2. Step 2: Convert to fraction form
    440,766/654,669 = 654,669/x
  3. Step 3: Cross multiply
    440,766x = 654,669 × 654,669
  4. Step 4: Simplify right side
    440,766x = 428,591,499,561
  5. Step 5: Solve for x
    x = 428,591,499,561/440,766
  6. Step 6: Final answer
    x = 972,378.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.