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Finding the Third Proportional to 71,709 and 157,716

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Solution

The third proportional to 71,709 and 157,716 is: 346,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709 : 157,716 = 157,716 : x
  2. Step 2: Convert to fraction form
    71,709/157,716 = 157,716/x
  3. Step 3: Cross multiply
    71,709x = 157,716 × 157,716
  4. Step 4: Simplify right side
    71,709x = 24,874,336,656
  5. Step 5: Solve for x
    x = 24,874,336,656/71,709
  6. Step 6: Final answer
    x = 346,878.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.