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Finding the Third Proportional to 70,407 and 108,074

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Solution

The third proportional to 70,407 and 108,074 is: 165,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407 : 108,074 = 108,074 : x
  2. Step 2: Convert to fraction form
    70,407/108,074 = 108,074/x
  3. Step 3: Cross multiply
    70,407x = 108,074 × 108,074
  4. Step 4: Simplify right side
    70,407x = 11,679,989,476
  5. Step 5: Solve for x
    x = 11,679,989,476/70,407
  6. Step 6: Final answer
    x = 165,892.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.