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Finding the Third Proportional to 81,418.50 and 176,775.75

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Solution

The third proportional to 81,418.50 and 176,775.75 is: 383,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418.50 : 176,775.75 = 176,775.75 : x
  2. Step 2: Convert to fraction form
    81,418.50/176,775.75 = 176,775.75/x
  3. Step 3: Cross multiply
    81,418.50x = 176,775.75 × 176,775.75
  4. Step 4: Simplify right side
    81,418.50x = 31,249,665,788.06
  5. Step 5: Solve for x
    x = 31,249,665,788.06/81,418.50
  6. Step 6: Final answer
    x = 383,815.30

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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.