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Finding the Third Proportional to 291,136 and 374,496

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Solution

The third proportional to 291,136 and 374,496 is: 481,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136 : 374,496 = 374,496 : x
  2. Step 2: Convert to fraction form
    291,136/374,496 = 374,496/x
  3. Step 3: Cross multiply
    291,136x = 374,496 × 374,496
  4. Step 4: Simplify right side
    291,136x = 140,247,254,016
  5. Step 5: Solve for x
    x = 140,247,254,016/291,136
  6. Step 6: Final answer
    x = 481,724.19

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.