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Finding the Third Proportional to 305,111 and 631,438

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Solution

The third proportional to 305,111 and 631,438 is: 1,306,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,111 : 631,438 = 631,438 : x
  2. Step 2: Convert to fraction form
    305,111/631,438 = 631,438/x
  3. Step 3: Cross multiply
    305,111x = 631,438 × 631,438
  4. Step 4: Simplify right side
    305,111x = 398,713,947,844
  5. Step 5: Solve for x
    x = 398,713,947,844/305,111
  6. Step 6: Final answer
    x = 1,306,783.26

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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.