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Finding the Third Proportional to 72,701 and 109,416

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Solution

The third proportional to 72,701 and 109,416 is: 164,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,701 : 109,416 = 109,416 : x
  2. Step 2: Convert to fraction form
    72,701/109,416 = 109,416/x
  3. Step 3: Cross multiply
    72,701x = 109,416 × 109,416
  4. Step 4: Simplify right side
    72,701x = 11,971,861,056
  5. Step 5: Solve for x
    x = 11,971,861,056/72,701
  6. Step 6: Final answer
    x = 164,672.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.