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Finding the Third Proportional to 440,840 and 654,780

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Solution

The third proportional to 440,840 and 654,780 is: 972,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,840 : 654,780 = 654,780 : x
  2. Step 2: Convert to fraction form
    440,840/654,780 = 654,780/x
  3. Step 3: Cross multiply
    440,840x = 654,780 × 654,780
  4. Step 4: Simplify right side
    440,840x = 428,736,848,400
  5. Step 5: Solve for x
    x = 428,736,848,400/440,840
  6. Step 6: Final answer
    x = 972,545.25

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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.