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Finding the Third Proportional to 82,720.50 and 179,437

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Solution

The third proportional to 82,720.50 and 179,437 is: 389,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,720.50 : 179,437 = 179,437 : x
  2. Step 2: Convert to fraction form
    82,720.50/179,437 = 179,437/x
  3. Step 3: Cross multiply
    82,720.50x = 179,437 × 179,437
  4. Step 4: Simplify right side
    82,720.50x = 32,197,636,969
  5. Step 5: Solve for x
    x = 32,197,636,969/82,720.50
  6. Step 6: Final answer
    x = 389,234.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.