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Finding the Third Proportional to 90,712 and 136,416

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Solution

The third proportional to 90,712 and 136,416 is: 205,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,712 : 136,416 = 136,416 : x
  2. Step 2: Convert to fraction form
    90,712/136,416 = 136,416/x
  3. Step 3: Cross multiply
    90,712x = 136,416 × 136,416
  4. Step 4: Simplify right side
    90,712x = 18,609,325,056
  5. Step 5: Solve for x
    x = 18,609,325,056/90,712
  6. Step 6: Final answer
    x = 205,147.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.