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Finding the Third Proportional to 138,460 and 302,546

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Solution

The third proportional to 138,460 and 302,546 is: 661,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460 : 302,546 = 302,546 : x
  2. Step 2: Convert to fraction form
    138,460/302,546 = 302,546/x
  3. Step 3: Cross multiply
    138,460x = 302,546 × 302,546
  4. Step 4: Simplify right side
    138,460x = 91,534,082,116
  5. Step 5: Solve for x
    x = 91,534,082,116/138,460
  6. Step 6: Final answer
    x = 661,086.83

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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.