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Finding the Third Proportional to 138,407 and 302,662

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Solution

The third proportional to 138,407 and 302,662 is: 661,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407 : 302,662 = 302,662 : x
  2. Step 2: Convert to fraction form
    138,407/302,662 = 302,662/x
  3. Step 3: Cross multiply
    138,407x = 302,662 × 302,662
  4. Step 4: Simplify right side
    138,407x = 91,604,286,244
  5. Step 5: Solve for x
    x = 91,604,286,244/138,407
  6. Step 6: Final answer
    x = 661,847.21

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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.