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Finding the Third Proportional to 20,988 and 45,359.06

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Solution

The third proportional to 20,988 and 45,359.06 is: 98,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 45,359.06 = 45,359.06 : x
  2. Step 2: Convert to fraction form
    20,988/45,359.06 = 45,359.06/x
  3. Step 3: Cross multiply
    20,988x = 45,359.06 × 45,359.06
  4. Step 4: Simplify right side
    20,988x = 2,057,444,550.88
  5. Step 5: Solve for x
    x = 2,057,444,550.88/20,988
  6. Step 6: Final answer
    x = 98,029.57

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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.