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Finding the Third Proportional to 918.19 and 1,311.47

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Solution

The third proportional to 918.19 and 1,311.47 is: 1,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,311.47 = 1,311.47 : x
  2. Step 2: Convert to fraction form
    918.19/1,311.47 = 1,311.47/x
  3. Step 3: Cross multiply
    918.19x = 1,311.47 × 1,311.47
  4. Step 4: Simplify right side
    918.19x = 1,719,950.28
  5. Step 5: Solve for x
    x = 1,719,950.28/918.19
  6. Step 6: Final answer
    x = 1,873.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.