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Finding the Third Proportional to 7,890.25 and 16,972.63

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Solution

The third proportional to 7,890.25 and 16,972.63 is: 36,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.25 : 16,972.63 = 16,972.63 : x
  2. Step 2: Convert to fraction form
    7,890.25/16,972.63 = 16,972.63/x
  3. Step 3: Cross multiply
    7,890.25x = 16,972.63 × 16,972.63
  4. Step 4: Simplify right side
    7,890.25x = 288,069,999.39
  5. Step 5: Solve for x
    x = 288,069,999.39/7,890.25
  6. Step 6: Final answer
    x = 36,509.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.