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Finding the Third Proportional to 138,458 and 302,544

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Solution

The third proportional to 138,458 and 302,544 is: 661,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458 : 302,544 = 302,544 : x
  2. Step 2: Convert to fraction form
    138,458/302,544 = 302,544/x
  3. Step 3: Cross multiply
    138,458x = 302,544 × 302,544
  4. Step 4: Simplify right side
    138,458x = 91,532,871,936
  5. Step 5: Solve for x
    x = 91,532,871,936/138,458
  6. Step 6: Final answer
    x = 661,087.64

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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.