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Finding the Third Proportional to 312,843,472 and 426,039,412

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Solution

The third proportional to 312,843,472 and 426,039,412 is: 580,192,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,843,472 : 426,039,412 = 426,039,412 : x
  2. Step 2: Convert to fraction form
    312,843,472/426,039,412 = 426,039,412/x
  3. Step 3: Cross multiply
    312,843,472x = 426,039,412 × 426,039,412
  4. Step 4: Simplify right side
    312,843,472x = 181,509,580,577,305,728
  5. Step 5: Solve for x
    x = 181,509,580,577,305,728/312,843,472
  6. Step 6: Final answer
    x = 580,192,961.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.