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Finding the Third Proportional to 305,109 and 631,434

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Solution

The third proportional to 305,109 and 631,434 is: 1,306,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,109 : 631,434 = 631,434 : x
  2. Step 2: Convert to fraction form
    305,109/631,434 = 631,434/x
  3. Step 3: Cross multiply
    305,109x = 631,434 × 631,434
  4. Step 4: Simplify right side
    305,109x = 398,708,896,356
  5. Step 5: Solve for x
    x = 398,708,896,356/305,109
  6. Step 6: Final answer
    x = 1,306,775.27

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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.