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Finding the Third Proportional to 129,042 and 313,843.50

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Solution

The third proportional to 129,042 and 313,843.50 is: 763,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,042 : 313,843.50 = 313,843.50 : x
  2. Step 2: Convert to fraction form
    129,042/313,843.50 = 313,843.50/x
  3. Step 3: Cross multiply
    129,042x = 313,843.50 × 313,843.50
  4. Step 4: Simplify right side
    129,042x = 98,497,742,492.25
  5. Step 5: Solve for x
    x = 98,497,742,492.25/129,042
  6. Step 6: Final answer
    x = 763,299.88

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.