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Finding the Third Proportional to 842.99 and 1,259.42

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Solution

The third proportional to 842.99 and 1,259.42 is: 1,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.99 : 1,259.42 = 1,259.42 : x
  2. Step 2: Convert to fraction form
    842.99/1,259.42 = 1,259.42/x
  3. Step 3: Cross multiply
    842.99x = 1,259.42 × 1,259.42
  4. Step 4: Simplify right side
    842.99x = 1,586,143.46
  5. Step 5: Solve for x
    x = 1,586,143.46/842.99
  6. Step 6: Final answer
    x = 1,881.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.