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Finding the Third Proportional to 31,839,680 and 68,220,138

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Solution

The third proportional to 31,839,680 and 68,220,138 is: 146,169,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,680 : 68,220,138 = 68,220,138 : x
  2. Step 2: Convert to fraction form
    31,839,680/68,220,138 = 68,220,138/x
  3. Step 3: Cross multiply
    31,839,680x = 68,220,138 × 68,220,138
  4. Step 4: Simplify right side
    31,839,680x = 4,653,987,228,739,044
  5. Step 5: Solve for x
    x = 4,653,987,228,739,044/31,839,680
  6. Step 6: Final answer
    x = 146,169,409.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.