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Finding the Third Proportional to 75,470 and 102,132

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Solution

The third proportional to 75,470 and 102,132 is: 138,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,470 : 102,132 = 102,132 : x
  2. Step 2: Convert to fraction form
    75,470/102,132 = 102,132/x
  3. Step 3: Cross multiply
    75,470x = 102,132 × 102,132
  4. Step 4: Simplify right side
    75,470x = 10,430,945,424
  5. Step 5: Solve for x
    x = 10,430,945,424/75,470
  6. Step 6: Final answer
    x = 138,213.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.