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Finding the Third Proportional to 118,259 and 172,987

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Solution

The third proportional to 118,259 and 172,987 is: 253,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,259 : 172,987 = 172,987 : x
  2. Step 2: Convert to fraction form
    118,259/172,987 = 172,987/x
  3. Step 3: Cross multiply
    118,259x = 172,987 × 172,987
  4. Step 4: Simplify right side
    118,259x = 29,924,502,169
  5. Step 5: Solve for x
    x = 29,924,502,169/118,259
  6. Step 6: Final answer
    x = 253,042.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.