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Finding the Third Proportional to 63,121 and 136,971

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Solution

The third proportional to 63,121 and 136,971 is: 297,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,121 : 136,971 = 136,971 : x
  2. Step 2: Convert to fraction form
    63,121/136,971 = 136,971/x
  3. Step 3: Cross multiply
    63,121x = 136,971 × 136,971
  4. Step 4: Simplify right side
    63,121x = 18,761,054,841
  5. Step 5: Solve for x
    x = 18,761,054,841/63,121
  6. Step 6: Final answer
    x = 297,223.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.