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Finding the Third Proportional to 20,770 and 32,643

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Solution

The third proportional to 20,770 and 32,643 is: 51,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 32,643 = 32,643 : x
  2. Step 2: Convert to fraction form
    20,770/32,643 = 32,643/x
  3. Step 3: Cross multiply
    20,770x = 32,643 × 32,643
  4. Step 4: Simplify right side
    20,770x = 1,065,565,449
  5. Step 5: Solve for x
    x = 1,065,565,449/20,770
  6. Step 6: Final answer
    x = 51,303.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.