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Finding the Third Proportional to 90,317.81 and 196,723.13

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Solution

The third proportional to 90,317.81 and 196,723.13 is: 428,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,317.81 : 196,723.13 = 196,723.13 : x
  2. Step 2: Convert to fraction form
    90,317.81/196,723.13 = 196,723.13/x
  3. Step 3: Cross multiply
    90,317.81x = 196,723.13 × 196,723.13
  4. Step 4: Simplify right side
    90,317.81x = 38,699,987,909.77
  5. Step 5: Solve for x
    x = 38,699,987,909.77/90,317.81
  6. Step 6: Final answer
    x = 428,486.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.