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Finding the Third Proportional to 31,473,136 and 67,729,247

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Solution

The third proportional to 31,473,136 and 67,729,247 is: 145,751,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473,136 : 67,729,247 = 67,729,247 : x
  2. Step 2: Convert to fraction form
    31,473,136/67,729,247 = 67,729,247/x
  3. Step 3: Cross multiply
    31,473,136x = 67,729,247 × 67,729,247
  4. Step 4: Simplify right side
    31,473,136x = 4,587,250,899,187,009
  5. Step 5: Solve for x
    x = 4,587,250,899,187,009/31,473,136
  6. Step 6: Final answer
    x = 145,751,313.09

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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.