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Finding the Third Proportional to 7,972.31 and 16,808.91

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Solution

The third proportional to 7,972.31 and 16,808.91 is: 35,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.31 : 16,808.91 = 16,808.91 : x
  2. Step 2: Convert to fraction form
    7,972.31/16,808.91 = 16,808.91/x
  3. Step 3: Cross multiply
    7,972.31x = 16,808.91 × 16,808.91
  4. Step 4: Simplify right side
    7,972.31x = 282,539,329.32
  5. Step 5: Solve for x
    x = 282,539,329.32/7,972.31
  6. Step 6: Final answer
    x = 35,440.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.