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Finding the Third Proportional to 79,720.50 and 108,315

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Solution

The third proportional to 79,720.50 and 108,315 is: 147,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,720.50 : 108,315 = 108,315 : x
  2. Step 2: Convert to fraction form
    79,720.50/108,315 = 108,315/x
  3. Step 3: Cross multiply
    79,720.50x = 108,315 × 108,315
  4. Step 4: Simplify right side
    79,720.50x = 11,732,139,225
  5. Step 5: Solve for x
    x = 11,732,139,225/79,720.50
  6. Step 6: Final answer
    x = 147,165.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.