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Finding the Third Proportional to 76,242 and 102,411

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Solution

The third proportional to 76,242 and 102,411 is: 137,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,242 : 102,411 = 102,411 : x
  2. Step 2: Convert to fraction form
    76,242/102,411 = 102,411/x
  3. Step 3: Cross multiply
    76,242x = 102,411 × 102,411
  4. Step 4: Simplify right side
    76,242x = 10,488,012,921
  5. Step 5: Solve for x
    x = 10,488,012,921/76,242
  6. Step 6: Final answer
    x = 137,562.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.