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Finding the Third Proportional to 979.38 and 1,500.06

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Solution

The third proportional to 979.38 and 1,500.06 is: 2,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.38 : 1,500.06 = 1,500.06 : x
  2. Step 2: Convert to fraction form
    979.38/1,500.06 = 1,500.06/x
  3. Step 3: Cross multiply
    979.38x = 1,500.06 × 1,500.06
  4. Step 4: Simplify right side
    979.38x = 2,250,187.50
  5. Step 5: Solve for x
    x = 2,250,187.50/979.38
  6. Step 6: Final answer
    x = 2,297.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.