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Finding the Third Proportional to 414,090 and 621,574

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Solution

The third proportional to 414,090 and 621,574 is: 933,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,090 : 621,574 = 621,574 : x
  2. Step 2: Convert to fraction form
    414,090/621,574 = 621,574/x
  3. Step 3: Cross multiply
    414,090x = 621,574 × 621,574
  4. Step 4: Simplify right side
    414,090x = 386,354,237,476
  5. Step 5: Solve for x
    x = 386,354,237,476/414,090
  6. Step 6: Final answer
    x = 933,019.97

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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.