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Finding the Third Proportional to 118,209.38 and 256,512.66

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Solution

The third proportional to 118,209.38 and 256,512.66 is: 556,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,209.38 : 256,512.66 = 256,512.66 : x
  2. Step 2: Convert to fraction form
    118,209.38/256,512.66 = 256,512.66/x
  3. Step 3: Cross multiply
    118,209.38x = 256,512.66 × 256,512.66
  4. Step 4: Simplify right side
    118,209.38x = 65,798,742,816.43
  5. Step 5: Solve for x
    x = 65,798,742,816.43/118,209.38
  6. Step 6: Final answer
    x = 556,628.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.