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Finding the Third Proportional to 68,706 and 144,789

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Solution

The third proportional to 68,706 and 144,789 is: 305,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,706 : 144,789 = 144,789 : x
  2. Step 2: Convert to fraction form
    68,706/144,789 = 144,789/x
  3. Step 3: Cross multiply
    68,706x = 144,789 × 144,789
  4. Step 4: Simplify right side
    68,706x = 20,963,854,521
  5. Step 5: Solve for x
    x = 20,963,854,521/68,706
  6. Step 6: Final answer
    x = 305,124.07

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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.