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Finding the Third Proportional to 239,439 and 357,082

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Solution

The third proportional to 239,439 and 357,082 is: 532,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,439 : 357,082 = 357,082 : x
  2. Step 2: Convert to fraction form
    239,439/357,082 = 357,082/x
  3. Step 3: Cross multiply
    239,439x = 357,082 × 357,082
  4. Step 4: Simplify right side
    239,439x = 127,507,554,724
  5. Step 5: Solve for x
    x = 127,507,554,724/239,439
  6. Step 6: Final answer
    x = 532,526.26

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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.