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Finding the Third Proportional to 62,290 and 89,539

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Solution

The third proportional to 62,290 and 89,539 is: 128,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,290 : 89,539 = 89,539 : x
  2. Step 2: Convert to fraction form
    62,290/89,539 = 89,539/x
  3. Step 3: Cross multiply
    62,290x = 89,539 × 89,539
  4. Step 4: Simplify right side
    62,290x = 8,017,232,521
  5. Step 5: Solve for x
    x = 8,017,232,521/62,290
  6. Step 6: Final answer
    x = 128,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.