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Finding the Third Proportional to 65,418 and 143,283

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Solution

The third proportional to 65,418 and 143,283 is: 313,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418 : 143,283 = 143,283 : x
  2. Step 2: Convert to fraction form
    65,418/143,283 = 143,283/x
  3. Step 3: Cross multiply
    65,418x = 143,283 × 143,283
  4. Step 4: Simplify right side
    65,418x = 20,530,018,089
  5. Step 5: Solve for x
    x = 20,530,018,089/65,418
  6. Step 6: Final answer
    x = 313,828.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.