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Finding the Third Proportional to 90,621.75 and 133,259.63

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Solution

The third proportional to 90,621.75 and 133,259.63 is: 195,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621.75 : 133,259.63 = 133,259.63 : x
  2. Step 2: Convert to fraction form
    90,621.75/133,259.63 = 133,259.63/x
  3. Step 3: Cross multiply
    90,621.75x = 133,259.63 × 133,259.63
  4. Step 4: Simplify right side
    90,621.75x = 17,758,127,655.14
  5. Step 5: Solve for x
    x = 17,758,127,655.14/90,621.75
  6. Step 6: Final answer
    x = 195,958.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.