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Finding the Third Proportional to 161,274.80 and 256,213.13

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Solution

The third proportional to 161,274.80 and 256,213.13 is: 407,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,274.80 : 256,213.13 = 256,213.13 : x
  2. Step 2: Convert to fraction form
    161,274.80/256,213.13 = 256,213.13/x
  3. Step 3: Cross multiply
    161,274.80x = 256,213.13 × 256,213.13
  4. Step 4: Simplify right side
    161,274.80x = 65,645,165,422.27
  5. Step 5: Solve for x
    x = 65,645,165,422.27/161,274.80
  6. Step 6: Final answer
    x = 407,039.21

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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.