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Finding the Third Proportional to 20,746 and 32,985

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Solution

The third proportional to 20,746 and 32,985 is: 52,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746 : 32,985 = 32,985 : x
  2. Step 2: Convert to fraction form
    20,746/32,985 = 32,985/x
  3. Step 3: Cross multiply
    20,746x = 32,985 × 32,985
  4. Step 4: Simplify right side
    20,746x = 1,088,010,225
  5. Step 5: Solve for x
    x = 1,088,010,225/20,746
  6. Step 6: Final answer
    x = 52,444.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.