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Finding the Third Proportional to 90,309.38 and 197,746.88

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Solution

The third proportional to 90,309.38 and 197,746.88 is: 432,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,309.38 : 197,746.88 = 197,746.88 : x
  2. Step 2: Convert to fraction form
    90,309.38/197,746.88 = 197,746.88/x
  3. Step 3: Cross multiply
    90,309.38x = 197,746.88 × 197,746.88
  4. Step 4: Simplify right side
    90,309.38x = 39,103,826,572.27
  5. Step 5: Solve for x
    x = 39,103,826,572.27/90,309.38
  6. Step 6: Final answer
    x = 432,998.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.