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Finding the Third Proportional to 111,319 and 172,397

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Solution

The third proportional to 111,319 and 172,397 is: 266,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,319 : 172,397 = 172,397 : x
  2. Step 2: Convert to fraction form
    111,319/172,397 = 172,397/x
  3. Step 3: Cross multiply
    111,319x = 172,397 × 172,397
  4. Step 4: Simplify right side
    111,319x = 29,720,725,609
  5. Step 5: Solve for x
    x = 29,720,725,609/111,319
  6. Step 6: Final answer
    x = 266,987.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.