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Finding the Third Proportional to 53,388 and 72,387

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Solution

The third proportional to 53,388 and 72,387 is: 98,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,388 : 72,387 = 72,387 : x
  2. Step 2: Convert to fraction form
    53,388/72,387 = 72,387/x
  3. Step 3: Cross multiply
    53,388x = 72,387 × 72,387
  4. Step 4: Simplify right side
    53,388x = 5,239,877,769
  5. Step 5: Solve for x
    x = 5,239,877,769/53,388
  6. Step 6: Final answer
    x = 98,147.11

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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.