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Finding the Third Proportional to 90,416.25 and 137,730.38

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Solution

The third proportional to 90,416.25 and 137,730.38 is: 209,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,416.25 : 137,730.38 = 137,730.38 : x
  2. Step 2: Convert to fraction form
    90,416.25/137,730.38 = 137,730.38/x
  3. Step 3: Cross multiply
    90,416.25x = 137,730.38 × 137,730.38
  4. Step 4: Simplify right side
    90,416.25x = 18,969,656,197.64
  5. Step 5: Solve for x
    x = 18,969,656,197.64/90,416.25
  6. Step 6: Final answer
    x = 209,803.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.