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Finding the Third Proportional to 73,142 and 157,381

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Solution

The third proportional to 73,142 and 157,381 is: 338,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142 : 157,381 = 157,381 : x
  2. Step 2: Convert to fraction form
    73,142/157,381 = 157,381/x
  3. Step 3: Cross multiply
    73,142x = 157,381 × 157,381
  4. Step 4: Simplify right side
    73,142x = 24,768,779,161
  5. Step 5: Solve for x
    x = 24,768,779,161/73,142
  6. Step 6: Final answer
    x = 338,639.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.