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Finding the Third Proportional to 67,021 and 144,339.13

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Solution

The third proportional to 67,021 and 144,339.13 is: 310,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,021 : 144,339.13 = 144,339.13 : x
  2. Step 2: Convert to fraction form
    67,021/144,339.13 = 144,339.13/x
  3. Step 3: Cross multiply
    67,021x = 144,339.13 × 144,339.13
  4. Step 4: Simplify right side
    67,021x = 20,833,783,005.77
  5. Step 5: Solve for x
    x = 20,833,783,005.77/67,021
  6. Step 6: Final answer
    x = 310,854.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.