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Finding the Third Proportional to 554.81 and 842.34

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Solution

The third proportional to 554.81 and 842.34 is: 1,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.81 : 842.34 = 842.34 : x
  2. Step 2: Convert to fraction form
    554.81/842.34 = 842.34/x
  3. Step 3: Cross multiply
    554.81x = 842.34 × 842.34
  4. Step 4: Simplify right side
    554.81x = 709,542.99
  5. Step 5: Solve for x
    x = 709,542.99/554.81
  6. Step 6: Final answer
    x = 1,278.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.