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Finding the Third Proportional to 256,775 and 400,708

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Solution

The third proportional to 256,775 and 400,708 is: 625,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,775 : 400,708 = 400,708 : x
  2. Step 2: Convert to fraction form
    256,775/400,708 = 400,708/x
  3. Step 3: Cross multiply
    256,775x = 400,708 × 400,708
  4. Step 4: Simplify right side
    256,775x = 160,566,901,264
  5. Step 5: Solve for x
    x = 160,566,901,264/256,775
  6. Step 6: Final answer
    x = 625,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.