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Finding the Third Proportional to 257,226.57 and 382,108.72

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Solution

The third proportional to 257,226.57 and 382,108.72 is: 567,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.57 : 382,108.72 = 382,108.72 : x
  2. Step 2: Convert to fraction form
    257,226.57/382,108.72 = 382,108.72/x
  3. Step 3: Cross multiply
    257,226.57x = 382,108.72 × 382,108.72
  4. Step 4: Simplify right side
    257,226.57x = 146,007,073,691.07
  5. Step 5: Solve for x
    x = 146,007,073,691.07/257,226.57
  6. Step 6: Final answer
    x = 567,620.49

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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.