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Finding the Third Proportional to 88,663 and 189,782

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Solution

The third proportional to 88,663 and 189,782 is: 406,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,663 : 189,782 = 189,782 : x
  2. Step 2: Convert to fraction form
    88,663/189,782 = 189,782/x
  3. Step 3: Cross multiply
    88,663x = 189,782 × 189,782
  4. Step 4: Simplify right side
    88,663x = 36,017,207,524
  5. Step 5: Solve for x
    x = 36,017,207,524/88,663
  6. Step 6: Final answer
    x = 406,225.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.