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Finding the Third Proportional to 138,462 and 303,128

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Solution

The third proportional to 138,462 and 303,128 is: 663,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462 : 303,128 = 303,128 : x
  2. Step 2: Convert to fraction form
    138,462/303,128 = 303,128/x
  3. Step 3: Cross multiply
    138,462x = 303,128 × 303,128
  4. Step 4: Simplify right side
    138,462x = 91,886,584,384
  5. Step 5: Solve for x
    x = 91,886,584,384/138,462
  6. Step 6: Final answer
    x = 663,623.12

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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.