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Finding the Third Proportional to 257,520.75 and 392,278.25

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Solution

The third proportional to 257,520.75 and 392,278.25 is: 597,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,520.75 : 392,278.25 = 392,278.25 : x
  2. Step 2: Convert to fraction form
    257,520.75/392,278.25 = 392,278.25/x
  3. Step 3: Cross multiply
    257,520.75x = 392,278.25 × 392,278.25
  4. Step 4: Simplify right side
    257,520.75x = 153,882,225,423.06
  5. Step 5: Solve for x
    x = 153,882,225,423.06/257,520.75
  6. Step 6: Final answer
    x = 597,552.72

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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.