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Finding the Third Proportional to 39,172 and 58,585

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Solution

The third proportional to 39,172 and 58,585 is: 87,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,172 : 58,585 = 58,585 : x
  2. Step 2: Convert to fraction form
    39,172/58,585 = 58,585/x
  3. Step 3: Cross multiply
    39,172x = 58,585 × 58,585
  4. Step 4: Simplify right side
    39,172x = 3,432,202,225
  5. Step 5: Solve for x
    x = 3,432,202,225/39,172
  6. Step 6: Final answer
    x = 87,618.76

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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.