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Finding the Third Proportional to 257,580 and 378,921

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Solution

The third proportional to 257,580 and 378,921 is: 557,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,580 : 378,921 = 378,921 : x
  2. Step 2: Convert to fraction form
    257,580/378,921 = 378,921/x
  3. Step 3: Cross multiply
    257,580x = 378,921 × 378,921
  4. Step 4: Simplify right side
    257,580x = 143,581,124,241
  5. Step 5: Solve for x
    x = 143,581,124,241/257,580
  6. Step 6: Final answer
    x = 557,423.42

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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.