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Finding the Third Proportional to 239,508 and 359,280

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Solution

The third proportional to 239,508 and 359,280 is: 538,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,508 : 359,280 = 359,280 : x
  2. Step 2: Convert to fraction form
    239,508/359,280 = 359,280/x
  3. Step 3: Cross multiply
    239,508x = 359,280 × 359,280
  4. Step 4: Simplify right side
    239,508x = 129,082,118,400
  5. Step 5: Solve for x
    x = 129,082,118,400/239,508
  6. Step 6: Final answer
    x = 538,947.00

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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.