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Finding the Third Proportional to 7,135,728 and 10,172,136

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Solution

The third proportional to 7,135,728 and 10,172,136 is: 14,500,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135,728 : 10,172,136 = 10,172,136 : x
  2. Step 2: Convert to fraction form
    7,135,728/10,172,136 = 10,172,136/x
  3. Step 3: Cross multiply
    7,135,728x = 10,172,136 × 10,172,136
  4. Step 4: Simplify right side
    7,135,728x = 103,472,350,802,496
  5. Step 5: Solve for x
    x = 103,472,350,802,496/7,135,728
  6. Step 6: Final answer
    x = 14,500,601.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.