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Finding the Third Proportional to 239,138 and 357,429

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Solution

The third proportional to 239,138 and 357,429 is: 534,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,138 : 357,429 = 357,429 : x
  2. Step 2: Convert to fraction form
    239,138/357,429 = 357,429/x
  3. Step 3: Cross multiply
    239,138x = 357,429 × 357,429
  4. Step 4: Simplify right side
    239,138x = 127,755,490,041
  5. Step 5: Solve for x
    x = 127,755,490,041/239,138
  6. Step 6: Final answer
    x = 534,233.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.