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Finding the Third Proportional to 224,302.13 and 492,198.56

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Solution

The third proportional to 224,302.13 and 492,198.56 is: 1,080,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,302.13 : 492,198.56 = 492,198.56 : x
  2. Step 2: Convert to fraction form
    224,302.13/492,198.56 = 492,198.56/x
  3. Step 3: Cross multiply
    224,302.13x = 492,198.56 × 492,198.56
  4. Step 4: Simplify right side
    224,302.13x = 242,259,419,159.11
  5. Step 5: Solve for x
    x = 242,259,419,159.11/224,302.13
  6. Step 6: Final answer
    x = 1,080,058.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.