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Finding the Third Proportional to 68,291.86 and 139,293.42

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Solution

The third proportional to 68,291.86 and 139,293.42 is: 284,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,291.86 : 139,293.42 = 139,293.42 : x
  2. Step 2: Convert to fraction form
    68,291.86/139,293.42 = 139,293.42/x
  3. Step 3: Cross multiply
    68,291.86x = 139,293.42 × 139,293.42
  4. Step 4: Simplify right side
    68,291.86x = 19,402,657,377.65
  5. Step 5: Solve for x
    x = 19,402,657,377.65/68,291.86
  6. Step 6: Final answer
    x = 284,113.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.