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Finding the Third Proportional to 32,952 and 51,036

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Solution

The third proportional to 32,952 and 51,036 is: 79,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952 : 51,036 = 51,036 : x
  2. Step 2: Convert to fraction form
    32,952/51,036 = 51,036/x
  3. Step 3: Cross multiply
    32,952x = 51,036 × 51,036
  4. Step 4: Simplify right side
    32,952x = 2,604,673,296
  5. Step 5: Solve for x
    x = 2,604,673,296/32,952
  6. Step 6: Final answer
    x = 79,044.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.