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Finding the Third Proportional to 305,438 and 631,828

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Solution

The third proportional to 305,438 and 631,828 is: 1,306,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438 : 631,828 = 631,828 : x
  2. Step 2: Convert to fraction form
    305,438/631,828 = 631,828/x
  3. Step 3: Cross multiply
    305,438x = 631,828 × 631,828
  4. Step 4: Simplify right side
    305,438x = 399,206,621,584
  5. Step 5: Solve for x
    x = 399,206,621,584/305,438
  6. Step 6: Final answer
    x = 1,306,997.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.