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Finding the Third Proportional to 157,121 and 339,142

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Solution

The third proportional to 157,121 and 339,142 is: 732,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121 : 339,142 = 339,142 : x
  2. Step 2: Convert to fraction form
    157,121/339,142 = 339,142/x
  3. Step 3: Cross multiply
    157,121x = 339,142 × 339,142
  4. Step 4: Simplify right side
    157,121x = 115,017,296,164
  5. Step 5: Solve for x
    x = 115,017,296,164/157,121
  6. Step 6: Final answer
    x = 732,030.07

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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.