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Finding the Third Proportional to 239,724 and 359,154

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Solution

The third proportional to 239,724 and 359,154 is: 538,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,724 : 359,154 = 359,154 : x
  2. Step 2: Convert to fraction form
    239,724/359,154 = 359,154/x
  3. Step 3: Cross multiply
    239,724x = 359,154 × 359,154
  4. Step 4: Simplify right side
    239,724x = 128,991,595,716
  5. Step 5: Solve for x
    x = 128,991,595,716/239,724
  6. Step 6: Final answer
    x = 538,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.