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Finding the Third Proportional to 290,832 and 623,136

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Solution

The third proportional to 290,832 and 623,136 is: 1,335,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,832 : 623,136 = 623,136 : x
  2. Step 2: Convert to fraction form
    290,832/623,136 = 623,136/x
  3. Step 3: Cross multiply
    290,832x = 623,136 × 623,136
  4. Step 4: Simplify right side
    290,832x = 388,298,474,496
  5. Step 5: Solve for x
    x = 388,298,474,496/290,832
  6. Step 6: Final answer
    x = 1,335,129.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.