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Finding the Third Proportional to 140,058 and 209,592

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Solution

The third proportional to 140,058 and 209,592 is: 313,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,058 : 209,592 = 209,592 : x
  2. Step 2: Convert to fraction form
    140,058/209,592 = 209,592/x
  3. Step 3: Cross multiply
    140,058x = 209,592 × 209,592
  4. Step 4: Simplify right side
    140,058x = 43,928,806,464
  5. Step 5: Solve for x
    x = 43,928,806,464/140,058
  6. Step 6: Final answer
    x = 313,647.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.