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Finding the Third Proportional to 614.67 and 1,298.74

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Solution

The third proportional to 614.67 and 1,298.74 is: 2,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.67 : 1,298.74 = 1,298.74 : x
  2. Step 2: Convert to fraction form
    614.67/1,298.74 = 1,298.74/x
  3. Step 3: Cross multiply
    614.67x = 1,298.74 × 1,298.74
  4. Step 4: Simplify right side
    614.67x = 1,686,731.27
  5. Step 5: Solve for x
    x = 1,686,731.27/614.67
  6. Step 6: Final answer
    x = 2,744.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.