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Finding the Third Proportional to 256,782 and 375,663

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Solution

The third proportional to 256,782 and 375,663 is: 549,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,782 : 375,663 = 375,663 : x
  2. Step 2: Convert to fraction form
    256,782/375,663 = 375,663/x
  3. Step 3: Cross multiply
    256,782x = 375,663 × 375,663
  4. Step 4: Simplify right side
    256,782x = 141,122,689,569
  5. Step 5: Solve for x
    x = 141,122,689,569/256,782
  6. Step 6: Final answer
    x = 549,581.71

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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.