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Finding the Third Proportional to 65,855 and 138,683

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Solution

The third proportional to 65,855 and 138,683 is: 292,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,855 : 138,683 = 138,683 : x
  2. Step 2: Convert to fraction form
    65,855/138,683 = 138,683/x
  3. Step 3: Cross multiply
    65,855x = 138,683 × 138,683
  4. Step 4: Simplify right side
    65,855x = 19,232,974,489
  5. Step 5: Solve for x
    x = 19,232,974,489/65,855
  6. Step 6: Final answer
    x = 292,050.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.