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Finding the Third Proportional to 70,872.47 and 109,657.55

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Solution

The third proportional to 70,872.47 and 109,657.55 is: 169,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.47 : 109,657.55 = 109,657.55 : x
  2. Step 2: Convert to fraction form
    70,872.47/109,657.55 = 109,657.55/x
  3. Step 3: Cross multiply
    70,872.47x = 109,657.55 × 109,657.55
  4. Step 4: Simplify right side
    70,872.47x = 12,024,777,586.64
  5. Step 5: Solve for x
    x = 12,024,777,586.64/70,872.47
  6. Step 6: Final answer
    x = 169,667.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.