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Finding the Third Proportional to 143,721 and 302,338.97

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Solution

The third proportional to 143,721 and 302,338.97 is: 636,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,721 : 302,338.97 = 302,338.97 : x
  2. Step 2: Convert to fraction form
    143,721/302,338.97 = 302,338.97/x
  3. Step 3: Cross multiply
    143,721x = 302,338.97 × 302,338.97
  4. Step 4: Simplify right side
    143,721x = 91,408,852,024.81
  5. Step 5: Solve for x
    x = 91,408,852,024.81/143,721
  6. Step 6: Final answer
    x = 636,015.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.