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Finding the Third Proportional to 414,040 and 623,133

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Solution

The third proportional to 414,040 and 623,133 is: 937,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,040 : 623,133 = 623,133 : x
  2. Step 2: Convert to fraction form
    414,040/623,133 = 623,133/x
  3. Step 3: Cross multiply
    414,040x = 623,133 × 623,133
  4. Step 4: Simplify right side
    414,040x = 388,294,735,689
  5. Step 5: Solve for x
    x = 388,294,735,689/414,040
  6. Step 6: Final answer
    x = 937,819.38

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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.