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Finding the Third Proportional to 138,296.50 and 301,726.25

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Solution

The third proportional to 138,296.50 and 301,726.25 is: 658,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296.50 : 301,726.25 = 301,726.25 : x
  2. Step 2: Convert to fraction form
    138,296.50/301,726.25 = 301,726.25/x
  3. Step 3: Cross multiply
    138,296.50x = 301,726.25 × 301,726.25
  4. Step 4: Simplify right side
    138,296.50x = 91,038,729,939.06
  5. Step 5: Solve for x
    x = 91,038,729,939.06/138,296.50
  6. Step 6: Final answer
    x = 658,286.58

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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.