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Finding the Third Proportional to 67,770 and 144,919.13

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Solution

The third proportional to 67,770 and 144,919.13 is: 309,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,770 : 144,919.13 = 144,919.13 : x
  2. Step 2: Convert to fraction form
    67,770/144,919.13 = 144,919.13/x
  3. Step 3: Cross multiply
    67,770x = 144,919.13 × 144,919.13
  4. Step 4: Simplify right side
    67,770x = 21,001,552,790.77
  5. Step 5: Solve for x
    x = 21,001,552,790.77/67,770
  6. Step 6: Final answer
    x = 309,894.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.