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Finding the Third Proportional to 256,860 and 402,922

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Solution

The third proportional to 256,860 and 402,922 is: 632,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,860 : 402,922 = 402,922 : x
  2. Step 2: Convert to fraction form
    256,860/402,922 = 402,922/x
  3. Step 3: Cross multiply
    256,860x = 402,922 × 402,922
  4. Step 4: Simplify right side
    256,860x = 162,346,138,084
  5. Step 5: Solve for x
    x = 162,346,138,084/256,860
  6. Step 6: Final answer
    x = 632,041.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.