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Finding the Third Proportional to 90,999.70 and 137,772.46

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Solution

The third proportional to 90,999.70 and 137,772.46 is: 208,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,999.70 : 137,772.46 = 137,772.46 : x
  2. Step 2: Convert to fraction form
    90,999.70/137,772.46 = 137,772.46/x
  3. Step 3: Cross multiply
    90,999.70x = 137,772.46 × 137,772.46
  4. Step 4: Simplify right side
    90,999.70x = 18,981,249,916.43
  5. Step 5: Solve for x
    x = 18,981,249,916.43/90,999.70
  6. Step 6: Final answer
    x = 208,585.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.