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Finding the Third Proportional to 65,625 and 143,278

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Solution

The third proportional to 65,625 and 143,278 is: 312,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 143,278 = 143,278 : x
  2. Step 2: Convert to fraction form
    65,625/143,278 = 143,278/x
  3. Step 3: Cross multiply
    65,625x = 143,278 × 143,278
  4. Step 4: Simplify right side
    65,625x = 20,528,585,284
  5. Step 5: Solve for x
    x = 20,528,585,284/65,625
  6. Step 6: Final answer
    x = 312,816.54

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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.