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Finding the Third Proportional to 60,978 and 133,438

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Solution

The third proportional to 60,978 and 133,438 is: 292,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,978 : 133,438 = 133,438 : x
  2. Step 2: Convert to fraction form
    60,978/133,438 = 133,438/x
  3. Step 3: Cross multiply
    60,978x = 133,438 × 133,438
  4. Step 4: Simplify right side
    60,978x = 17,805,699,844
  5. Step 5: Solve for x
    x = 17,805,699,844/60,978
  6. Step 6: Final answer
    x = 292,002.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.