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Finding the Third Proportional to 138,493 and 302,607

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Solution

The third proportional to 138,493 and 302,607 is: 661,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,493 : 302,607 = 302,607 : x
  2. Step 2: Convert to fraction form
    138,493/302,607 = 302,607/x
  3. Step 3: Cross multiply
    138,493x = 302,607 × 302,607
  4. Step 4: Simplify right side
    138,493x = 91,570,996,449
  5. Step 5: Solve for x
    x = 91,570,996,449/138,493
  6. Step 6: Final answer
    x = 661,195.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.