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Finding the Third Proportional to 112,159 and 172,397

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Solution

The third proportional to 112,159 and 172,397 is: 264,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,159 : 172,397 = 172,397 : x
  2. Step 2: Convert to fraction form
    112,159/172,397 = 172,397/x
  3. Step 3: Cross multiply
    112,159x = 172,397 × 172,397
  4. Step 4: Simplify right side
    112,159x = 29,720,725,609
  5. Step 5: Solve for x
    x = 29,720,725,609/112,159
  6. Step 6: Final answer
    x = 264,987.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.