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Finding the Third Proportional to 71,774 and 157,228

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Solution

The third proportional to 71,774 and 157,228 is: 344,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774 : 157,228 = 157,228 : x
  2. Step 2: Convert to fraction form
    71,774/157,228 = 157,228/x
  3. Step 3: Cross multiply
    71,774x = 157,228 × 157,228
  4. Step 4: Simplify right side
    71,774x = 24,720,643,984
  5. Step 5: Solve for x
    x = 24,720,643,984/71,774
  6. Step 6: Final answer
    x = 344,423.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.