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Finding the Third Proportional to 305,112 and 631,439

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Solution

The third proportional to 305,112 and 631,439 is: 1,306,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,112 : 631,439 = 631,439 : x
  2. Step 2: Convert to fraction form
    305,112/631,439 = 631,439/x
  3. Step 3: Cross multiply
    305,112x = 631,439 × 631,439
  4. Step 4: Simplify right side
    305,112x = 398,715,210,721
  5. Step 5: Solve for x
    x = 398,715,210,721/305,112
  6. Step 6: Final answer
    x = 1,306,783.12

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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.