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Finding the Third Proportional to 256,613.06 and 402,543

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Solution

The third proportional to 256,613.06 and 402,543 is: 631,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,613.06 : 402,543 = 402,543 : x
  2. Step 2: Convert to fraction form
    256,613.06/402,543 = 402,543/x
  3. Step 3: Cross multiply
    256,613.06x = 402,543 × 402,543
  4. Step 4: Simplify right side
    256,613.06x = 162,040,866,849
  5. Step 5: Solve for x
    x = 162,040,866,849/256,613.06
  6. Step 6: Final answer
    x = 631,459.93

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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.