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Finding the Third Proportional to 256,846.13 and 409,053.38

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Solution

The third proportional to 256,846.13 and 409,053.38 is: 651,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.13 : 409,053.38 = 409,053.38 : x
  2. Step 2: Convert to fraction form
    256,846.13/409,053.38 = 409,053.38/x
  3. Step 3: Cross multiply
    256,846.13x = 409,053.38 × 409,053.38
  4. Step 4: Simplify right side
    256,846.13x = 167,324,663,598.89
  5. Step 5: Solve for x
    x = 167,324,663,598.89/256,846.13
  6. Step 6: Final answer
    x = 651,458.78

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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.