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Finding the Third Proportional to 983.71 and 2,140.49

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Solution

The third proportional to 983.71 and 2,140.49 is: 4,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.71 : 2,140.49 = 2,140.49 : x
  2. Step 2: Convert to fraction form
    983.71/2,140.49 = 2,140.49/x
  3. Step 3: Cross multiply
    983.71x = 2,140.49 × 2,140.49
  4. Step 4: Simplify right side
    983.71x = 4,581,690.08
  5. Step 5: Solve for x
    x = 4,581,690.08/983.71
  6. Step 6: Final answer
    x = 4,657.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.