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Finding the Third Proportional to 65,753 and 143,807

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Solution

The third proportional to 65,753 and 143,807 is: 314,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,753 : 143,807 = 143,807 : x
  2. Step 2: Convert to fraction form
    65,753/143,807 = 143,807/x
  3. Step 3: Cross multiply
    65,753x = 143,807 × 143,807
  4. Step 4: Simplify right side
    65,753x = 20,680,453,249
  5. Step 5: Solve for x
    x = 20,680,453,249/65,753
  6. Step 6: Final answer
    x = 314,517.26

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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.