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Finding the Third Proportional to 63,212 and 139,544

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Solution

The third proportional to 63,212 and 139,544 is: 308,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 139,544 = 139,544 : x
  2. Step 2: Convert to fraction form
    63,212/139,544 = 139,544/x
  3. Step 3: Cross multiply
    63,212x = 139,544 × 139,544
  4. Step 4: Simplify right side
    63,212x = 19,472,527,936
  5. Step 5: Solve for x
    x = 19,472,527,936/63,212
  6. Step 6: Final answer
    x = 308,051.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.