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Finding the Third Proportional to 407,226 and 621,372

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Solution

The third proportional to 407,226 and 621,372 is: 948,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,226 : 621,372 = 621,372 : x
  2. Step 2: Convert to fraction form
    407,226/621,372 = 621,372/x
  3. Step 3: Cross multiply
    407,226x = 621,372 × 621,372
  4. Step 4: Simplify right side
    407,226x = 386,103,162,384
  5. Step 5: Solve for x
    x = 386,103,162,384/407,226
  6. Step 6: Final answer
    x = 948,129.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.