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Finding the Third Proportional to 138,336 and 302,160

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Solution

The third proportional to 138,336 and 302,160 is: 659,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,336 : 302,160 = 302,160 : x
  2. Step 2: Convert to fraction form
    138,336/302,160 = 302,160/x
  3. Step 3: Cross multiply
    138,336x = 302,160 × 302,160
  4. Step 4: Simplify right side
    138,336x = 91,300,665,600
  5. Step 5: Solve for x
    x = 91,300,665,600/138,336
  6. Step 6: Final answer
    x = 659,992.09

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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.