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Finding the Third Proportional to 128,926.69 and 287,376.19

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Solution

The third proportional to 128,926.69 and 287,376.19 is: 640,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,926.69 : 287,376.19 = 287,376.19 : x
  2. Step 2: Convert to fraction form
    128,926.69/287,376.19 = 287,376.19/x
  3. Step 3: Cross multiply
    128,926.69x = 287,376.19 × 287,376.19
  4. Step 4: Simplify right side
    128,926.69x = 82,585,073,142.04
  5. Step 5: Solve for x
    x = 82,585,073,142.04/128,926.69
  6. Step 6: Final answer
    x = 640,558.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.