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Finding the Third Proportional to 136,155.75 and 299,190

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Solution

The third proportional to 136,155.75 and 299,190 is: 657,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,155.75 : 299,190 = 299,190 : x
  2. Step 2: Convert to fraction form
    136,155.75/299,190 = 299,190/x
  3. Step 3: Cross multiply
    136,155.75x = 299,190 × 299,190
  4. Step 4: Simplify right side
    136,155.75x = 89,514,656,100
  5. Step 5: Solve for x
    x = 89,514,656,100/136,155.75
  6. Step 6: Final answer
    x = 657,443.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.