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Finding the Third Proportional to 65,583 and 143,775

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Solution

The third proportional to 65,583 and 143,775 is: 315,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,583 : 143,775 = 143,775 : x
  2. Step 2: Convert to fraction form
    65,583/143,775 = 143,775/x
  3. Step 3: Cross multiply
    65,583x = 143,775 × 143,775
  4. Step 4: Simplify right side
    65,583x = 20,671,250,625
  5. Step 5: Solve for x
    x = 20,671,250,625/65,583
  6. Step 6: Final answer
    x = 315,192.21

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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.