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Finding the Third Proportional to 36,497 and 78,690.50

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Solution

The third proportional to 36,497 and 78,690.50 is: 169,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497 : 78,690.50 = 78,690.50 : x
  2. Step 2: Convert to fraction form
    36,497/78,690.50 = 78,690.50/x
  3. Step 3: Cross multiply
    36,497x = 78,690.50 × 78,690.50
  4. Step 4: Simplify right side
    36,497x = 6,192,194,790.25
  5. Step 5: Solve for x
    x = 6,192,194,790.25/36,497
  6. Step 6: Final answer
    x = 169,663.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.