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Finding the Third Proportional to 427,952 and 662,286

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Solution

The third proportional to 427,952 and 662,286 is: 1,024,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,952 : 662,286 = 662,286 : x
  2. Step 2: Convert to fraction form
    427,952/662,286 = 662,286/x
  3. Step 3: Cross multiply
    427,952x = 662,286 × 662,286
  4. Step 4: Simplify right side
    427,952x = 438,622,745,796
  5. Step 5: Solve for x
    x = 438,622,745,796/427,952
  6. Step 6: Final answer
    x = 1,024,934.45

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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.