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Finding the Third Proportional to 78,360 and 172,270

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Solution

The third proportional to 78,360 and 172,270 is: 378,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,360 : 172,270 = 172,270 : x
  2. Step 2: Convert to fraction form
    78,360/172,270 = 172,270/x
  3. Step 3: Cross multiply
    78,360x = 172,270 × 172,270
  4. Step 4: Simplify right side
    78,360x = 29,676,952,900
  5. Step 5: Solve for x
    x = 29,676,952,900/78,360
  6. Step 6: Final answer
    x = 378,725.79

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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.