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Finding the Third Proportional to 1,323.84 and 1,981.65

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Solution

The third proportional to 1,323.84 and 1,981.65 is: 2,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,981.65 = 1,981.65 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,981.65 = 1,981.65/x
  3. Step 3: Cross multiply
    1,323.84x = 1,981.65 × 1,981.65
  4. Step 4: Simplify right side
    1,323.84x = 3,926,946.01
  5. Step 5: Solve for x
    x = 3,926,946.01/1,323.84
  6. Step 6: Final answer
    x = 2,966.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.