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Finding the Third Proportional to 427,741 and 662,239

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Solution

The third proportional to 427,741 and 662,239 is: 1,025,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,741 : 662,239 = 662,239 : x
  2. Step 2: Convert to fraction form
    427,741/662,239 = 662,239/x
  3. Step 3: Cross multiply
    427,741x = 662,239 × 662,239
  4. Step 4: Simplify right side
    427,741x = 438,560,493,121
  5. Step 5: Solve for x
    x = 438,560,493,121/427,741
  6. Step 6: Final answer
    x = 1,025,294.50

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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.