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Finding the Third Proportional to 15,689.50 and 36,308

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Solution

The third proportional to 15,689.50 and 36,308 is: 84,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.50 : 36,308 = 36,308 : x
  2. Step 2: Convert to fraction form
    15,689.50/36,308 = 36,308/x
  3. Step 3: Cross multiply
    15,689.50x = 36,308 × 36,308
  4. Step 4: Simplify right side
    15,689.50x = 1,318,270,864
  5. Step 5: Solve for x
    x = 1,318,270,864/15,689.50
  6. Step 6: Final answer
    x = 84,022.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.