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Finding the Third Proportional to 128,395.13 and 191,883.94

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Solution

The third proportional to 128,395.13 and 191,883.94 is: 286,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,395.13 : 191,883.94 = 191,883.94 : x
  2. Step 2: Convert to fraction form
    128,395.13/191,883.94 = 191,883.94/x
  3. Step 3: Cross multiply
    128,395.13x = 191,883.94 × 191,883.94
  4. Step 4: Simplify right side
    128,395.13x = 36,819,445,470.50
  5. Step 5: Solve for x
    x = 36,819,445,470.50/128,395.13
  6. Step 6: Final answer
    x = 286,766.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.