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Finding the Third Proportional to 440,830 and 654,765

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Solution

The third proportional to 440,830 and 654,765 is: 972,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,830 : 654,765 = 654,765 : x
  2. Step 2: Convert to fraction form
    440,830/654,765 = 654,765/x
  3. Step 3: Cross multiply
    440,830x = 654,765 × 654,765
  4. Step 4: Simplify right side
    440,830x = 428,717,205,225
  5. Step 5: Solve for x
    x = 428,717,205,225/440,830
  6. Step 6: Final answer
    x = 972,522.75

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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.