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Finding the Third Proportional to 7,980.88 and 12,631.13

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Solution

The third proportional to 7,980.88 and 12,631.13 is: 19,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.88 : 12,631.13 = 12,631.13 : x
  2. Step 2: Convert to fraction form
    7,980.88/12,631.13 = 12,631.13/x
  3. Step 3: Cross multiply
    7,980.88x = 12,631.13 × 12,631.13
  4. Step 4: Simplify right side
    7,980.88x = 159,545,318.77
  5. Step 5: Solve for x
    x = 159,545,318.77/7,980.88
  6. Step 6: Final answer
    x = 19,990.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.