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Finding the Third Proportional to 78,394 and 172,395

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Solution

The third proportional to 78,394 and 172,395 is: 379,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394 : 172,395 = 172,395 : x
  2. Step 2: Convert to fraction form
    78,394/172,395 = 172,395/x
  3. Step 3: Cross multiply
    78,394x = 172,395 × 172,395
  4. Step 4: Simplify right side
    78,394x = 29,720,036,025
  5. Step 5: Solve for x
    x = 29,720,036,025/78,394
  6. Step 6: Final answer
    x = 379,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.