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Finding the Third Proportional to 102,272 and 223,140

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Solution

The third proportional to 102,272 and 223,140 is: 486,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272 : 223,140 = 223,140 : x
  2. Step 2: Convert to fraction form
    102,272/223,140 = 223,140/x
  3. Step 3: Cross multiply
    102,272x = 223,140 × 223,140
  4. Step 4: Simplify right side
    102,272x = 49,791,459,600
  5. Step 5: Solve for x
    x = 49,791,459,600/102,272
  6. Step 6: Final answer
    x = 486,853.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.