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Finding the Third Proportional to 20,391 and 27,442.50

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Solution

The third proportional to 20,391 and 27,442.50 is: 36,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391 : 27,442.50 = 27,442.50 : x
  2. Step 2: Convert to fraction form
    20,391/27,442.50 = 27,442.50/x
  3. Step 3: Cross multiply
    20,391x = 27,442.50 × 27,442.50
  4. Step 4: Simplify right side
    20,391x = 753,090,806.25
  5. Step 5: Solve for x
    x = 753,090,806.25/20,391
  6. Step 6: Final answer
    x = 36,932.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.