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Finding the Third Proportional to 78,753 and 172,816.13

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Solution

The third proportional to 78,753 and 172,816.13 is: 379,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,753 : 172,816.13 = 172,816.13 : x
  2. Step 2: Convert to fraction form
    78,753/172,816.13 = 172,816.13/x
  3. Step 3: Cross multiply
    78,753x = 172,816.13 × 172,816.13
  4. Step 4: Simplify right side
    78,753x = 29,865,413,060.02
  5. Step 5: Solve for x
    x = 29,865,413,060.02/78,753
  6. Step 6: Final answer
    x = 379,228.89

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Why These Related Problems?

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