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Finding the Third Proportional to 257,527.75 and 392,288.75

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Solution

The third proportional to 257,527.75 and 392,288.75 is: 597,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527.75 : 392,288.75 = 392,288.75 : x
  2. Step 2: Convert to fraction form
    257,527.75/392,288.75 = 392,288.75/x
  3. Step 3: Cross multiply
    257,527.75x = 392,288.75 × 392,288.75
  4. Step 4: Simplify right side
    257,527.75x = 153,890,463,376.56
  5. Step 5: Solve for x
    x = 153,890,463,376.56/257,527.75
  6. Step 6: Final answer
    x = 597,568.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.