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Finding the Third Proportional to 138,726 and 302,364

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Solution

The third proportional to 138,726 and 302,364 is: 659,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 302,364 = 302,364 : x
  2. Step 2: Convert to fraction form
    138,726/302,364 = 302,364/x
  3. Step 3: Cross multiply
    138,726x = 302,364 × 302,364
  4. Step 4: Simplify right side
    138,726x = 91,423,988,496
  5. Step 5: Solve for x
    x = 91,423,988,496/138,726
  6. Step 6: Final answer
    x = 659,025.62

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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.