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Finding the Third Proportional to 305,116 and 631,448

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Solution

The third proportional to 305,116 and 631,448 is: 1,306,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,116 : 631,448 = 631,448 : x
  2. Step 2: Convert to fraction form
    305,116/631,448 = 631,448/x
  3. Step 3: Cross multiply
    305,116x = 631,448 × 631,448
  4. Step 4: Simplify right side
    305,116x = 398,726,576,704
  5. Step 5: Solve for x
    x = 398,726,576,704/305,116
  6. Step 6: Final answer
    x = 1,306,803.24

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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.