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Finding the Third Proportional to 138,168 and 302,642

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Solution

The third proportional to 138,168 and 302,642 is: 662,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,168 : 302,642 = 302,642 : x
  2. Step 2: Convert to fraction form
    138,168/302,642 = 302,642/x
  3. Step 3: Cross multiply
    138,168x = 302,642 × 302,642
  4. Step 4: Simplify right side
    138,168x = 91,592,180,164
  5. Step 5: Solve for x
    x = 91,592,180,164/138,168
  6. Step 6: Final answer
    x = 662,904.44

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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.