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Finding the Third Proportional to 305,452 and 631,852

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Solution

The third proportional to 305,452 and 631,852 is: 1,307,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,452 : 631,852 = 631,852 : x
  2. Step 2: Convert to fraction form
    305,452/631,852 = 631,852/x
  3. Step 3: Cross multiply
    305,452x = 631,852 × 631,852
  4. Step 4: Simplify right side
    305,452x = 399,236,949,904
  5. Step 5: Solve for x
    x = 399,236,949,904/305,452
  6. Step 6: Final answer
    x = 1,307,036.62

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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.