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Finding the Third Proportional to 39,670 and 59,315

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Solution

The third proportional to 39,670 and 59,315 is: 88,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,670 : 59,315 = 59,315 : x
  2. Step 2: Convert to fraction form
    39,670/59,315 = 59,315/x
  3. Step 3: Cross multiply
    39,670x = 59,315 × 59,315
  4. Step 4: Simplify right side
    39,670x = 3,518,269,225
  5. Step 5: Solve for x
    x = 3,518,269,225/39,670
  6. Step 6: Final answer
    x = 88,688.41

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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.