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Finding the Third Proportional to 161,275.13 and 256,213.88

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Solution

The third proportional to 161,275.13 and 256,213.88 is: 407,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,275.13 : 256,213.88 = 256,213.88 : x
  2. Step 2: Convert to fraction form
    161,275.13/256,213.88 = 256,213.88/x
  3. Step 3: Cross multiply
    161,275.13x = 256,213.88 × 256,213.88
  4. Step 4: Simplify right side
    161,275.13x = 65,645,549,742.52
  5. Step 5: Solve for x
    x = 65,645,549,742.52/161,275.13
  6. Step 6: Final answer
    x = 407,040.76

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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.