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Finding the Third Proportional to 39,078 and 84,076

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Solution

The third proportional to 39,078 and 84,076 is: 180,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078 : 84,076 = 84,076 : x
  2. Step 2: Convert to fraction form
    39,078/84,076 = 84,076/x
  3. Step 3: Cross multiply
    39,078x = 84,076 × 84,076
  4. Step 4: Simplify right side
    39,078x = 7,068,773,776
  5. Step 5: Solve for x
    x = 7,068,773,776/39,078
  6. Step 6: Final answer
    x = 180,888.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.