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Finding the Third Proportional to 157,142 and 339,182

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Solution

The third proportional to 157,142 and 339,182 is: 732,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142 : 339,182 = 339,182 : x
  2. Step 2: Convert to fraction form
    157,142/339,182 = 339,182/x
  3. Step 3: Cross multiply
    157,142x = 339,182 × 339,182
  4. Step 4: Simplify right side
    157,142x = 115,044,429,124
  5. Step 5: Solve for x
    x = 115,044,429,124/157,142
  6. Step 6: Final answer
    x = 732,104.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.