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Finding the Third Proportional to 427,691 and 662,164.75

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Solution

The third proportional to 427,691 and 662,164.75 is: 1,025,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,691 : 662,164.75 = 662,164.75 : x
  2. Step 2: Convert to fraction form
    427,691/662,164.75 = 662,164.75/x
  3. Step 3: Cross multiply
    427,691x = 662,164.75 × 662,164.75
  4. Step 4: Simplify right side
    427,691x = 438,462,156,142.56
  5. Step 5: Solve for x
    x = 438,462,156,142.56/427,691
  6. Step 6: Final answer
    x = 1,025,184.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.