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Finding the Third Proportional to 367,758 and 557,139

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Solution

The third proportional to 367,758 and 557,139 is: 844,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,758 : 557,139 = 557,139 : x
  2. Step 2: Convert to fraction form
    367,758/557,139 = 557,139/x
  3. Step 3: Cross multiply
    367,758x = 557,139 × 557,139
  4. Step 4: Simplify right side
    367,758x = 310,403,865,321
  5. Step 5: Solve for x
    x = 310,403,865,321/367,758
  6. Step 6: Final answer
    x = 844,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.