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Finding the Third Proportional to 51,809.90 and 82,385.90

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Solution

The third proportional to 51,809.90 and 82,385.90 is: 131,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.90 : 82,385.90 = 82,385.90 : x
  2. Step 2: Convert to fraction form
    51,809.90/82,385.90 = 82,385.90/x
  3. Step 3: Cross multiply
    51,809.90x = 82,385.90 × 82,385.90
  4. Step 4: Simplify right side
    51,809.90x = 6,787,436,341.81
  5. Step 5: Solve for x
    x = 6,787,436,341.81/51,809.90
  6. Step 6: Final answer
    x = 131,006.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.