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Finding the Third Proportional to 31,134,820 and 68,133,944

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Solution

The third proportional to 31,134,820 and 68,133,944 is: 149,101,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134,820 : 68,133,944 = 68,133,944 : x
  2. Step 2: Convert to fraction form
    31,134,820/68,133,944 = 68,133,944/x
  3. Step 3: Cross multiply
    31,134,820x = 68,133,944 × 68,133,944
  4. Step 4: Simplify right side
    31,134,820x = 4,642,234,324,995,136
  5. Step 5: Solve for x
    x = 4,642,234,324,995,136/31,134,820
  6. Step 6: Final answer
    x = 149,101,049.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.