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Finding the Third Proportional to 65,989 and 143,890

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Solution

The third proportional to 65,989 and 143,890 is: 313,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,989 : 143,890 = 143,890 : x
  2. Step 2: Convert to fraction form
    65,989/143,890 = 143,890/x
  3. Step 3: Cross multiply
    65,989x = 143,890 × 143,890
  4. Step 4: Simplify right side
    65,989x = 20,704,332,100
  5. Step 5: Solve for x
    x = 20,704,332,100/65,989
  6. Step 6: Final answer
    x = 313,754.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.