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Finding the Third Proportional to 20,830 and 29,686.50

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Solution

The third proportional to 20,830 and 29,686.50 is: 42,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 29,686.50 = 29,686.50 : x
  2. Step 2: Convert to fraction form
    20,830/29,686.50 = 29,686.50/x
  3. Step 3: Cross multiply
    20,830x = 29,686.50 × 29,686.50
  4. Step 4: Simplify right side
    20,830x = 881,288,282.25
  5. Step 5: Solve for x
    x = 881,288,282.25/20,830
  6. Step 6: Final answer
    x = 42,308.61

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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.