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Finding the Third Proportional to 257,266.13 and 376,672.78

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Solution

The third proportional to 257,266.13 and 376,672.78 is: 551,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,266.13 : 376,672.78 = 376,672.78 : x
  2. Step 2: Convert to fraction form
    257,266.13/376,672.78 = 376,672.78/x
  3. Step 3: Cross multiply
    257,266.13x = 376,672.78 × 376,672.78
  4. Step 4: Simplify right side
    257,266.13x = 141,882,384,134.61
  5. Step 5: Solve for x
    x = 141,882,384,134.61/257,266.13
  6. Step 6: Final answer
    x = 551,500.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.