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Finding the Third Proportional to 256,564.13 and 397,299.94

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Solution

The third proportional to 256,564.13 and 397,299.94 is: 615,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,564.13 : 397,299.94 = 397,299.94 : x
  2. Step 2: Convert to fraction form
    256,564.13/397,299.94 = 397,299.94/x
  3. Step 3: Cross multiply
    256,564.13x = 397,299.94 × 397,299.94
  4. Step 4: Simplify right side
    256,564.13x = 157,847,240,337.50
  5. Step 5: Solve for x
    x = 157,847,240,337.50/256,564.13
  6. Step 6: Final answer
    x = 615,235.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.