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Finding the Third Proportional to 152,099 and 339,136

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Solution

The third proportional to 152,099 and 339,136 is: 756,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,099 : 339,136 = 339,136 : x
  2. Step 2: Convert to fraction form
    152,099/339,136 = 339,136/x
  3. Step 3: Cross multiply
    152,099x = 339,136 × 339,136
  4. Step 4: Simplify right side
    152,099x = 115,013,226,496
  5. Step 5: Solve for x
    x = 115,013,226,496/152,099
  6. Step 6: Final answer
    x = 756,173.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.