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Finding the Third Proportional to 138,722.25 and 302,580

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Solution

The third proportional to 138,722.25 and 302,580 is: 659,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.25 : 302,580 = 302,580 : x
  2. Step 2: Convert to fraction form
    138,722.25/302,580 = 302,580/x
  3. Step 3: Cross multiply
    138,722.25x = 302,580 × 302,580
  4. Step 4: Simplify right side
    138,722.25x = 91,554,656,400
  5. Step 5: Solve for x
    x = 91,554,656,400/138,722.25
  6. Step 6: Final answer
    x = 659,985.38

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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.