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Finding the Third Proportional to 440,440 and 661,787

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Solution

The third proportional to 440,440 and 661,787 is: 994,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,440 : 661,787 = 661,787 : x
  2. Step 2: Convert to fraction form
    440,440/661,787 = 661,787/x
  3. Step 3: Cross multiply
    440,440x = 661,787 × 661,787
  4. Step 4: Simplify right side
    440,440x = 437,962,033,369
  5. Step 5: Solve for x
    x = 437,962,033,369/440,440
  6. Step 6: Final answer
    x = 994,373.88

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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.