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Finding the Third Proportional to 307,960 and 451,272

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Solution

The third proportional to 307,960 and 451,272 is: 661,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,960 : 451,272 = 451,272 : x
  2. Step 2: Convert to fraction form
    307,960/451,272 = 451,272/x
  3. Step 3: Cross multiply
    307,960x = 451,272 × 451,272
  4. Step 4: Simplify right side
    307,960x = 203,646,417,984
  5. Step 5: Solve for x
    x = 203,646,417,984/307,960
  6. Step 6: Final answer
    x = 661,275.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.