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Finding the Third Proportional to 39,015 and 57,060

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Solution

The third proportional to 39,015 and 57,060 is: 83,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,015 : 57,060 = 57,060 : x
  2. Step 2: Convert to fraction form
    39,015/57,060 = 57,060/x
  3. Step 3: Cross multiply
    39,015x = 57,060 × 57,060
  4. Step 4: Simplify right side
    39,015x = 3,255,843,600
  5. Step 5: Solve for x
    x = 3,255,843,600/39,015
  6. Step 6: Final answer
    x = 83,451.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.