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Finding the Third Proportional to 63,669 and 139,580

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Solution

The third proportional to 63,669 and 139,580 is: 305,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 139,580 = 139,580 : x
  2. Step 2: Convert to fraction form
    63,669/139,580 = 139,580/x
  3. Step 3: Cross multiply
    63,669x = 139,580 × 139,580
  4. Step 4: Simplify right side
    63,669x = 19,482,576,400
  5. Step 5: Solve for x
    x = 19,482,576,400/63,669
  6. Step 6: Final answer
    x = 305,997.84

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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.