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Finding the Third Proportional to 31,001,278 and 66,741,175

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Solution

The third proportional to 31,001,278 and 66,741,175 is: 143,683,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,278 : 66,741,175 = 66,741,175 : x
  2. Step 2: Convert to fraction form
    31,001,278/66,741,175 = 66,741,175/x
  3. Step 3: Cross multiply
    31,001,278x = 66,741,175 × 66,741,175
  4. Step 4: Simplify right side
    31,001,278x = 4,454,384,440,380,625
  5. Step 5: Solve for x
    x = 4,454,384,440,380,625/31,001,278
  6. Step 6: Final answer
    x = 143,683,897.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.