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Finding the Third Proportional to 414,400.50 and 623,138.63

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Solution

The third proportional to 414,400.50 and 623,138.63 is: 937,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400.50 : 623,138.63 = 623,138.63 : x
  2. Step 2: Convert to fraction form
    414,400.50/623,138.63 = 623,138.63/x
  3. Step 3: Cross multiply
    414,400.50x = 623,138.63 × 623,138.63
  4. Step 4: Simplify right side
    414,400.50x = 388,301,745,966.89
  5. Step 5: Solve for x
    x = 388,301,745,966.89/414,400.50
  6. Step 6: Final answer
    x = 937,020.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.