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Finding the Third Proportional to 492.19 and 1,053.84

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Solution

The third proportional to 492.19 and 1,053.84 is: 2,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 1,053.84 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    492.19/1,053.84 = 1,053.84/x
  3. Step 3: Cross multiply
    492.19x = 1,053.84 × 1,053.84
  4. Step 4: Simplify right side
    492.19x = 1,110,586.65
  5. Step 5: Solve for x
    x = 1,110,586.65/492.19
  6. Step 6: Final answer
    x = 2,256.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.