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Finding the Third Proportional to 63,636 and 143,774

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Solution

The third proportional to 63,636 and 143,774 is: 324,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,636 : 143,774 = 143,774 : x
  2. Step 2: Convert to fraction form
    63,636/143,774 = 143,774/x
  3. Step 3: Cross multiply
    63,636x = 143,774 × 143,774
  4. Step 4: Simplify right side
    63,636x = 20,670,963,076
  5. Step 5: Solve for x
    x = 20,670,963,076/63,636
  6. Step 6: Final answer
    x = 324,831.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.