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Finding the Third Proportional to 71,157 and 158,070

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Solution

The third proportional to 71,157 and 158,070 is: 351,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157 : 158,070 = 158,070 : x
  2. Step 2: Convert to fraction form
    71,157/158,070 = 158,070/x
  3. Step 3: Cross multiply
    71,157x = 158,070 × 158,070
  4. Step 4: Simplify right side
    71,157x = 24,986,124,900
  5. Step 5: Solve for x
    x = 24,986,124,900/71,157
  6. Step 6: Final answer
    x = 351,140.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.