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Finding the Third Proportional to 157,274 and 339,460

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Solution

The third proportional to 157,274 and 339,460 is: 732,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,274 : 339,460 = 339,460 : x
  2. Step 2: Convert to fraction form
    157,274/339,460 = 339,460/x
  3. Step 3: Cross multiply
    157,274x = 339,460 × 339,460
  4. Step 4: Simplify right side
    157,274x = 115,233,091,600
  5. Step 5: Solve for x
    x = 115,233,091,600/157,274
  6. Step 6: Final answer
    x = 732,690.03

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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.