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Finding the Third Proportional to 307,524 and 661,036

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Solution

The third proportional to 307,524 and 661,036 is: 1,420,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,524 : 661,036 = 661,036 : x
  2. Step 2: Convert to fraction form
    307,524/661,036 = 661,036/x
  3. Step 3: Cross multiply
    307,524x = 661,036 × 661,036
  4. Step 4: Simplify right side
    307,524x = 436,968,593,296
  5. Step 5: Solve for x
    x = 436,968,593,296/307,524
  6. Step 6: Final answer
    x = 1,420,925.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.