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Finding the Third Proportional to 130,041.07 and 280,687.78

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Solution

The third proportional to 130,041.07 and 280,687.78 is: 605,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,041.07 : 280,687.78 = 280,687.78 : x
  2. Step 2: Convert to fraction form
    130,041.07/280,687.78 = 280,687.78/x
  3. Step 3: Cross multiply
    130,041.07x = 280,687.78 × 280,687.78
  4. Step 4: Simplify right side
    130,041.07x = 78,785,630,543.05
  5. Step 5: Solve for x
    x = 78,785,630,543.05/130,041.07
  6. Step 6: Final answer
    x = 605,851.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.