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Finding the Third Proportional to 15,688.69 and 36,305.72

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Solution

The third proportional to 15,688.69 and 36,305.72 is: 84,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.69 : 36,305.72 = 36,305.72 : x
  2. Step 2: Convert to fraction form
    15,688.69/36,305.72 = 36,305.72/x
  3. Step 3: Cross multiply
    15,688.69x = 36,305.72 × 36,305.72
  4. Step 4: Simplify right side
    15,688.69x = 1,318,105,213.95
  5. Step 5: Solve for x
    x = 1,318,105,213.95/15,688.69
  6. Step 6: Final answer
    x = 84,016.28

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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.