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Finding the Third Proportional to 138,798 and 308,652

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Solution

The third proportional to 138,798 and 308,652 is: 686,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,798 : 308,652 = 308,652 : x
  2. Step 2: Convert to fraction form
    138,798/308,652 = 308,652/x
  3. Step 3: Cross multiply
    138,798x = 308,652 × 308,652
  4. Step 4: Simplify right side
    138,798x = 95,266,057,104
  5. Step 5: Solve for x
    x = 95,266,057,104/138,798
  6. Step 6: Final answer
    x = 686,364.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.