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Finding the Third Proportional to 256,841.72 and 409,046.20

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Solution

The third proportional to 256,841.72 and 409,046.20 is: 651,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,841.72 : 409,046.20 = 409,046.20 : x
  2. Step 2: Convert to fraction form
    256,841.72/409,046.20 = 409,046.20/x
  3. Step 3: Cross multiply
    256,841.72x = 409,046.20 × 409,046.20
  4. Step 4: Simplify right side
    256,841.72x = 167,318,796,290.98
  5. Step 5: Solve for x
    x = 167,318,796,290.98/256,841.72
  6. Step 6: Final answer
    x = 651,447.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.