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Finding the Third Proportional to 23,288 and 32,919

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Solution

The third proportional to 23,288 and 32,919 is: 46,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288 : 32,919 = 32,919 : x
  2. Step 2: Convert to fraction form
    23,288/32,919 = 32,919/x
  3. Step 3: Cross multiply
    23,288x = 32,919 × 32,919
  4. Step 4: Simplify right side
    23,288x = 1,083,660,561
  5. Step 5: Solve for x
    x = 1,083,660,561/23,288
  6. Step 6: Final answer
    x = 46,533.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.