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Finding the Third Proportional to 42,378 and 57,489

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Solution

The third proportional to 42,378 and 57,489 is: 77,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,378 : 57,489 = 57,489 : x
  2. Step 2: Convert to fraction form
    42,378/57,489 = 57,489/x
  3. Step 3: Cross multiply
    42,378x = 57,489 × 57,489
  4. Step 4: Simplify right side
    42,378x = 3,304,985,121
  5. Step 5: Solve for x
    x = 3,304,985,121/42,378
  6. Step 6: Final answer
    x = 77,988.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.