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Finding the Third Proportional to 42,319 and 62,169

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Solution

The third proportional to 42,319 and 62,169 is: 91,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,319 : 62,169 = 62,169 : x
  2. Step 2: Convert to fraction form
    42,319/62,169 = 62,169/x
  3. Step 3: Cross multiply
    42,319x = 62,169 × 62,169
  4. Step 4: Simplify right side
    42,319x = 3,864,984,561
  5. Step 5: Solve for x
    x = 3,864,984,561/42,319
  6. Step 6: Final answer
    x = 91,329.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.