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Finding the Third Proportional to 649.27 and 1,405.16

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Solution

The third proportional to 649.27 and 1,405.16 is: 3,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 1,405.16 = 1,405.16 : x
  2. Step 2: Convert to fraction form
    649.27/1,405.16 = 1,405.16/x
  3. Step 3: Cross multiply
    649.27x = 1,405.16 × 1,405.16
  4. Step 4: Simplify right side
    649.27x = 1,974,475.06
  5. Step 5: Solve for x
    x = 1,974,475.06/649.27
  6. Step 6: Final answer
    x = 3,041.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.