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Finding the Third Proportional to 257,996.88 and 379,411.88

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Solution

The third proportional to 257,996.88 and 379,411.88 is: 557,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996.88 : 379,411.88 = 379,411.88 : x
  2. Step 2: Convert to fraction form
    257,996.88/379,411.88 = 379,411.88/x
  3. Step 3: Cross multiply
    257,996.88x = 379,411.88 × 379,411.88
  4. Step 4: Simplify right side
    257,996.88x = 143,953,370,891.02
  5. Step 5: Solve for x
    x = 143,953,370,891.02/257,996.88
  6. Step 6: Final answer
    x = 557,965.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.