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Finding the Third Proportional to 522.66 and 1,139.16

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Solution

The third proportional to 522.66 and 1,139.16 is: 2,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 1,139.16 = 1,139.16 : x
  2. Step 2: Convert to fraction form
    522.66/1,139.16 = 1,139.16/x
  3. Step 3: Cross multiply
    522.66x = 1,139.16 × 1,139.16
  4. Step 4: Simplify right side
    522.66x = 1,297,676.96
  5. Step 5: Solve for x
    x = 1,297,676.96/522.66
  6. Step 6: Final answer
    x = 2,482.85

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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.