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Finding the Third Proportional to 129,822.75 and 308,154.38

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Solution

The third proportional to 129,822.75 and 308,154.38 is: 731,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822.75 : 308,154.38 = 308,154.38 : x
  2. Step 2: Convert to fraction form
    129,822.75/308,154.38 = 308,154.38/x
  3. Step 3: Cross multiply
    129,822.75x = 308,154.38 × 308,154.38
  4. Step 4: Simplify right side
    129,822.75x = 94,959,118,831.64
  5. Step 5: Solve for x
    x = 94,959,118,831.64/129,822.75
  6. Step 6: Final answer
    x = 731,452.07

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.