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Finding the Third Proportional to 918.84 and 1,402.63

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Solution

The third proportional to 918.84 and 1,402.63 is: 2,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 1,402.63 = 1,402.63 : x
  2. Step 2: Convert to fraction form
    918.84/1,402.63 = 1,402.63/x
  3. Step 3: Cross multiply
    918.84x = 1,402.63 × 1,402.63
  4. Step 4: Simplify right side
    918.84x = 1,967,367.85
  5. Step 5: Solve for x
    x = 1,967,367.85/918.84
  6. Step 6: Final answer
    x = 2,141.13

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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.