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Finding the Third Proportional to 79,725 and 172,545

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Solution

The third proportional to 79,725 and 172,545 is: 373,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,725 : 172,545 = 172,545 : x
  2. Step 2: Convert to fraction form
    79,725/172,545 = 172,545/x
  3. Step 3: Cross multiply
    79,725x = 172,545 × 172,545
  4. Step 4: Simplify right side
    79,725x = 29,771,777,025
  5. Step 5: Solve for x
    x = 29,771,777,025/79,725
  6. Step 6: Final answer
    x = 373,430.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.