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Finding the Third Proportional to 414,042 and 623,136

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Solution

The third proportional to 414,042 and 623,136 is: 937,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,042 : 623,136 = 623,136 : x
  2. Step 2: Convert to fraction form
    414,042/623,136 = 623,136/x
  3. Step 3: Cross multiply
    414,042x = 623,136 × 623,136
  4. Step 4: Simplify right side
    414,042x = 388,298,474,496
  5. Step 5: Solve for x
    x = 388,298,474,496/414,042
  6. Step 6: Final answer
    x = 937,823.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.