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Finding the Third Proportional to 90,303.45 and 140,625.81

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Solution

The third proportional to 90,303.45 and 140,625.81 is: 218,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,303.45 : 140,625.81 = 140,625.81 : x
  2. Step 2: Convert to fraction form
    90,303.45/140,625.81 = 140,625.81/x
  3. Step 3: Cross multiply
    90,303.45x = 140,625.81 × 140,625.81
  4. Step 4: Simplify right side
    90,303.45x = 19,775,618,042.65
  5. Step 5: Solve for x
    x = 19,775,618,042.65/90,303.45
  6. Step 6: Final answer
    x = 218,990.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.