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Finding the Third Proportional to 138,108 and 302,563

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Solution

The third proportional to 138,108 and 302,563 is: 662,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,108 : 302,563 = 302,563 : x
  2. Step 2: Convert to fraction form
    138,108/302,563 = 302,563/x
  3. Step 3: Cross multiply
    138,108x = 302,563 × 302,563
  4. Step 4: Simplify right side
    138,108x = 91,544,368,969
  5. Step 5: Solve for x
    x = 91,544,368,969/138,108
  6. Step 6: Final answer
    x = 662,846.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.