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Finding the Third Proportional to 414,037 and 623,129

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Solution

The third proportional to 414,037 and 623,129 is: 937,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,037 : 623,129 = 623,129 : x
  2. Step 2: Convert to fraction form
    414,037/623,129 = 623,129/x
  3. Step 3: Cross multiply
    414,037x = 623,129 × 623,129
  4. Step 4: Simplify right side
    414,037x = 388,289,750,641
  5. Step 5: Solve for x
    x = 388,289,750,641/414,037
  6. Step 6: Final answer
    x = 937,814.13

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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.