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Finding the Third Proportional to 281,081.81 and 618,202.13

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Solution

The third proportional to 281,081.81 and 618,202.13 is: 1,359,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,081.81 : 618,202.13 = 618,202.13 : x
  2. Step 2: Convert to fraction form
    281,081.81/618,202.13 = 618,202.13/x
  3. Step 3: Cross multiply
    281,081.81x = 618,202.13 × 618,202.13
  4. Step 4: Simplify right side
    281,081.81x = 382,173,867,354.52
  5. Step 5: Solve for x
    x = 382,173,867,354.52/281,081.81
  6. Step 6: Final answer
    x = 1,359,653.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.