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Finding the Third Proportional to 68,661 and 144,703.13

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Solution

The third proportional to 68,661 and 144,703.13 is: 304,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,661 : 144,703.13 = 144,703.13 : x
  2. Step 2: Convert to fraction form
    68,661/144,703.13 = 144,703.13/x
  3. Step 3: Cross multiply
    68,661x = 144,703.13 × 144,703.13
  4. Step 4: Simplify right side
    68,661x = 20,938,994,384.77
  5. Step 5: Solve for x
    x = 20,938,994,384.77/68,661
  6. Step 6: Final answer
    x = 304,961.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.