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Finding the Third Proportional to 136,287 and 318,341.25

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Solution

The third proportional to 136,287 and 318,341.25 is: 743,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,287 : 318,341.25 = 318,341.25 : x
  2. Step 2: Convert to fraction form
    136,287/318,341.25 = 318,341.25/x
  3. Step 3: Cross multiply
    136,287x = 318,341.25 × 318,341.25
  4. Step 4: Simplify right side
    136,287x = 101,341,151,451.56
  5. Step 5: Solve for x
    x = 101,341,151,451.56/136,287
  6. Step 6: Final answer
    x = 743,586.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.