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Finding the Third Proportional to 78,348 and 172,248

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Solution

The third proportional to 78,348 and 172,248 is: 378,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348 : 172,248 = 172,248 : x
  2. Step 2: Convert to fraction form
    78,348/172,248 = 172,248/x
  3. Step 3: Cross multiply
    78,348x = 172,248 × 172,248
  4. Step 4: Simplify right side
    78,348x = 29,669,373,504
  5. Step 5: Solve for x
    x = 29,669,373,504/78,348
  6. Step 6: Final answer
    x = 378,687.06

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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.