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Finding the Third Proportional to 78,367.50 and 171,315

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Solution

The third proportional to 78,367.50 and 171,315 is: 374,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 171,315 = 171,315 : x
  2. Step 2: Convert to fraction form
    78,367.50/171,315 = 171,315/x
  3. Step 3: Cross multiply
    78,367.50x = 171,315 × 171,315
  4. Step 4: Simplify right side
    78,367.50x = 29,348,829,225
  5. Step 5: Solve for x
    x = 29,348,829,225/78,367.50
  6. Step 6: Final answer
    x = 374,502.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.