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Finding the Third Proportional to 68,188 and 145,853

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Solution

The third proportional to 68,188 and 145,853 is: 311,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188 : 145,853 = 145,853 : x
  2. Step 2: Convert to fraction form
    68,188/145,853 = 145,853/x
  3. Step 3: Cross multiply
    68,188x = 145,853 × 145,853
  4. Step 4: Simplify right side
    68,188x = 21,273,097,609
  5. Step 5: Solve for x
    x = 21,273,097,609/68,188
  6. Step 6: Final answer
    x = 311,977.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.