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Finding the Third Proportional to 129,134.25 and 284,368.50

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Solution

The third proportional to 129,134.25 and 284,368.50 is: 626,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,134.25 : 284,368.50 = 284,368.50 : x
  2. Step 2: Convert to fraction form
    129,134.25/284,368.50 = 284,368.50/x
  3. Step 3: Cross multiply
    129,134.25x = 284,368.50 × 284,368.50
  4. Step 4: Simplify right side
    129,134.25x = 80,865,443,792.25
  5. Step 5: Solve for x
    x = 80,865,443,792.25/129,134.25
  6. Step 6: Final answer
    x = 626,212.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.