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Finding the Third Proportional to 256,857.75 and 409,069.13

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Solution

The third proportional to 256,857.75 and 409,069.13 is: 651,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.75 : 409,069.13 = 409,069.13 : x
  2. Step 2: Convert to fraction form
    256,857.75/409,069.13 = 409,069.13/x
  3. Step 3: Cross multiply
    256,857.75x = 409,069.13 × 409,069.13
  4. Step 4: Simplify right side
    256,857.75x = 167,337,549,028.27
  5. Step 5: Solve for x
    x = 167,337,549,028.27/256,857.75
  6. Step 6: Final answer
    x = 651,479.46

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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.