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Finding the Third Proportional to 100,080 and 217,656

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Solution

The third proportional to 100,080 and 217,656 is: 473,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080 : 217,656 = 217,656 : x
  2. Step 2: Convert to fraction form
    100,080/217,656 = 217,656/x
  3. Step 3: Cross multiply
    100,080x = 217,656 × 217,656
  4. Step 4: Simplify right side
    100,080x = 47,374,134,336
  5. Step 5: Solve for x
    x = 47,374,134,336/100,080
  6. Step 6: Final answer
    x = 473,362.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.