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Finding the Third Proportional to 85,834.69 and 123,831.28

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Solution

The third proportional to 85,834.69 and 123,831.28 is: 178,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,834.69 : 123,831.28 = 123,831.28 : x
  2. Step 2: Convert to fraction form
    85,834.69/123,831.28 = 123,831.28/x
  3. Step 3: Cross multiply
    85,834.69x = 123,831.28 × 123,831.28
  4. Step 4: Simplify right side
    85,834.69x = 15,334,186,216.02
  5. Step 5: Solve for x
    x = 15,334,186,216.02/85,834.69
  6. Step 6: Final answer
    x = 178,647.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.