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Finding the Third Proportional to 138,416 and 302,678

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Solution

The third proportional to 138,416 and 302,678 is: 661,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,416 : 302,678 = 302,678 : x
  2. Step 2: Convert to fraction form
    138,416/302,678 = 302,678/x
  3. Step 3: Cross multiply
    138,416x = 302,678 × 302,678
  4. Step 4: Simplify right side
    138,416x = 91,613,971,684
  5. Step 5: Solve for x
    x = 91,613,971,684/138,416
  6. Step 6: Final answer
    x = 661,874.15

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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.