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Finding the Third Proportional to 128,112.75 and 280,358.38

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Solution

The third proportional to 128,112.75 and 280,358.38 is: 613,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,112.75 : 280,358.38 = 280,358.38 : x
  2. Step 2: Convert to fraction form
    128,112.75/280,358.38 = 280,358.38/x
  3. Step 3: Cross multiply
    128,112.75x = 280,358.38 × 280,358.38
  4. Step 4: Simplify right side
    128,112.75x = 78,600,818,432.64
  5. Step 5: Solve for x
    x = 78,600,818,432.64/128,112.75
  6. Step 6: Final answer
    x = 613,528.46

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1.5x scale

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.