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Finding the Third Proportional to 38,210 and 57,315

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Solution

The third proportional to 38,210 and 57,315 is: 85,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210 : 57,315 = 57,315 : x
  2. Step 2: Convert to fraction form
    38,210/57,315 = 57,315/x
  3. Step 3: Cross multiply
    38,210x = 57,315 × 57,315
  4. Step 4: Simplify right side
    38,210x = 3,285,009,225
  5. Step 5: Solve for x
    x = 3,285,009,225/38,210
  6. Step 6: Final answer
    x = 85,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.