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Finding the Third Proportional to 20,535 and 29,365.50

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Solution

The third proportional to 20,535 and 29,365.50 is: 41,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535 : 29,365.50 = 29,365.50 : x
  2. Step 2: Convert to fraction form
    20,535/29,365.50 = 29,365.50/x
  3. Step 3: Cross multiply
    20,535x = 29,365.50 × 29,365.50
  4. Step 4: Simplify right side
    20,535x = 862,332,590.25
  5. Step 5: Solve for x
    x = 862,332,590.25/20,535
  6. Step 6: Final answer
    x = 41,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.