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Finding the Third Proportional to 100,495 and 218,486

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Solution

The third proportional to 100,495 and 218,486 is: 475,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,495 : 218,486 = 218,486 : x
  2. Step 2: Convert to fraction form
    100,495/218,486 = 218,486/x
  3. Step 3: Cross multiply
    100,495x = 218,486 × 218,486
  4. Step 4: Simplify right side
    100,495x = 47,736,132,196
  5. Step 5: Solve for x
    x = 47,736,132,196/100,495
  6. Step 6: Final answer
    x = 475,010.02

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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.