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Finding the Third Proportional to 68,801.81 and 139,452.19

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Solution

The third proportional to 68,801.81 and 139,452.19 is: 282,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,801.81 : 139,452.19 = 139,452.19 : x
  2. Step 2: Convert to fraction form
    68,801.81/139,452.19 = 139,452.19/x
  3. Step 3: Cross multiply
    68,801.81x = 139,452.19 × 139,452.19
  4. Step 4: Simplify right side
    68,801.81x = 19,446,912,598.54
  5. Step 5: Solve for x
    x = 19,446,912,598.54/68,801.81
  6. Step 6: Final answer
    x = 282,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.