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Finding the Third Proportional to 140,187.80 and 307,516.36

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Solution

The third proportional to 140,187.80 and 307,516.36 is: 674,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187.80 : 307,516.36 = 307,516.36 : x
  2. Step 2: Convert to fraction form
    140,187.80/307,516.36 = 307,516.36/x
  3. Step 3: Cross multiply
    140,187.80x = 307,516.36 × 307,516.36
  4. Step 4: Simplify right side
    140,187.80x = 94,566,311,283.25
  5. Step 5: Solve for x
    x = 94,566,311,283.25/140,187.80
  6. Step 6: Final answer
    x = 674,568.78

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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.