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Finding the Third Proportional to 143,721 and 302,325.75

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Solution

The third proportional to 143,721 and 302,325.75 is: 635,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,721 : 302,325.75 = 302,325.75 : x
  2. Step 2: Convert to fraction form
    143,721/302,325.75 = 302,325.75/x
  3. Step 3: Cross multiply
    143,721x = 302,325.75 × 302,325.75
  4. Step 4: Simplify right side
    143,721x = 91,400,859,113.06
  5. Step 5: Solve for x
    x = 91,400,859,113.06/143,721
  6. Step 6: Final answer
    x = 635,960.36

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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.