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Finding the Third Proportional to 138,409 and 302,666

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Solution

The third proportional to 138,409 and 302,666 is: 661,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409 : 302,666 = 302,666 : x
  2. Step 2: Convert to fraction form
    138,409/302,666 = 302,666/x
  3. Step 3: Cross multiply
    138,409x = 302,666 × 302,666
  4. Step 4: Simplify right side
    138,409x = 91,606,707,556
  5. Step 5: Solve for x
    x = 91,606,707,556/138,409
  6. Step 6: Final answer
    x = 661,855.14

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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.