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Finding the Third Proportional to 128,045.81 and 280,680.19

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Solution

The third proportional to 128,045.81 and 280,680.19 is: 615,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,045.81 : 280,680.19 = 280,680.19 : x
  2. Step 2: Convert to fraction form
    128,045.81/280,680.19 = 280,680.19/x
  3. Step 3: Cross multiply
    128,045.81x = 280,680.19 × 280,680.19
  4. Step 4: Simplify right side
    128,045.81x = 78,781,367,655.04
  5. Step 5: Solve for x
    x = 78,781,367,655.04/128,045.81
  6. Step 6: Final answer
    x = 615,259.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.