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Finding the Third Proportional to 53,538 and 78,387

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Solution

The third proportional to 53,538 and 78,387 is: 114,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538 : 78,387 = 78,387 : x
  2. Step 2: Convert to fraction form
    53,538/78,387 = 78,387/x
  3. Step 3: Cross multiply
    53,538x = 78,387 × 78,387
  4. Step 4: Simplify right side
    53,538x = 6,144,521,769
  5. Step 5: Solve for x
    x = 6,144,521,769/53,538
  6. Step 6: Final answer
    x = 114,769.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.