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Finding the Third Proportional to 208,869.89 and 313,766.16

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Solution

The third proportional to 208,869.89 and 313,766.16 is: 471,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869.89 : 313,766.16 = 313,766.16 : x
  2. Step 2: Convert to fraction form
    208,869.89/313,766.16 = 313,766.16/x
  3. Step 3: Cross multiply
    208,869.89x = 313,766.16 × 313,766.16
  4. Step 4: Simplify right side
    208,869.89x = 98,449,200,807.90
  5. Step 5: Solve for x
    x = 98,449,200,807.90/208,869.89
  6. Step 6: Final answer
    x = 471,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.