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Finding the Third Proportional to 20,987.23 and 45,357.47

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Solution

The third proportional to 20,987.23 and 45,357.47 is: 98,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.23 : 45,357.47 = 45,357.47 : x
  2. Step 2: Convert to fraction form
    20,987.23/45,357.47 = 45,357.47/x
  3. Step 3: Cross multiply
    20,987.23x = 45,357.47 × 45,357.47
  4. Step 4: Simplify right side
    20,987.23x = 2,057,299,971.41
  5. Step 5: Solve for x
    x = 2,057,299,971.41/20,987.23
  6. Step 6: Final answer
    x = 98,026.29

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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.