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Finding the Third Proportional to 918.70 and 2,002.64

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Solution

The third proportional to 918.70 and 2,002.64 is: 4,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.70 : 2,002.64 = 2,002.64 : x
  2. Step 2: Convert to fraction form
    918.70/2,002.64 = 2,002.64/x
  3. Step 3: Cross multiply
    918.70x = 2,002.64 × 2,002.64
  4. Step 4: Simplify right side
    918.70x = 4,010,569.47
  5. Step 5: Solve for x
    x = 4,010,569.47/918.70
  6. Step 6: Final answer
    x = 4,365.47

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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.