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Finding the Third Proportional to 20,356.31 and 29,805.47

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Solution

The third proportional to 20,356.31 and 29,805.47 is: 43,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.31 : 29,805.47 = 29,805.47 : x
  2. Step 2: Convert to fraction form
    20,356.31/29,805.47 = 29,805.47/x
  3. Step 3: Cross multiply
    20,356.31x = 29,805.47 × 29,805.47
  4. Step 4: Simplify right side
    20,356.31x = 888,365,967.41
  5. Step 5: Solve for x
    x = 888,365,967.41/20,356.31
  6. Step 6: Final answer
    x = 43,640.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.