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Finding the Third Proportional to 256,566.75 and 402,471

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Solution

The third proportional to 256,566.75 and 402,471 is: 631,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,566.75 : 402,471 = 402,471 : x
  2. Step 2: Convert to fraction form
    256,566.75/402,471 = 402,471/x
  3. Step 3: Cross multiply
    256,566.75x = 402,471 × 402,471
  4. Step 4: Simplify right side
    256,566.75x = 161,982,905,841
  5. Step 5: Solve for x
    x = 161,982,905,841/256,566.75
  6. Step 6: Final answer
    x = 631,348.01

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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.