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Finding the Third Proportional to 31,839,647 and 68,220,069

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Solution

The third proportional to 31,839,647 and 68,220,069 is: 146,169,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,647 : 68,220,069 = 68,220,069 : x
  2. Step 2: Convert to fraction form
    31,839,647/68,220,069 = 68,220,069/x
  3. Step 3: Cross multiply
    31,839,647x = 68,220,069 × 68,220,069
  4. Step 4: Simplify right side
    31,839,647x = 4,653,977,814,364,761
  5. Step 5: Solve for x
    x = 4,653,977,814,364,761/31,839,647
  6. Step 6: Final answer
    x = 146,169,265.46

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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.