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Finding the Third Proportional to 54,438 and 78,489

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Solution

The third proportional to 54,438 and 78,489 is: 113,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438 : 78,489 = 78,489 : x
  2. Step 2: Convert to fraction form
    54,438/78,489 = 78,489/x
  3. Step 3: Cross multiply
    54,438x = 78,489 × 78,489
  4. Step 4: Simplify right side
    54,438x = 6,160,523,121
  5. Step 5: Solve for x
    x = 6,160,523,121/54,438
  6. Step 6: Final answer
    x = 113,165.86

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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.