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Finding the Third Proportional to 68,862 and 145,924

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Solution

The third proportional to 68,862 and 145,924 is: 309,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,862 : 145,924 = 145,924 : x
  2. Step 2: Convert to fraction form
    68,862/145,924 = 145,924/x
  3. Step 3: Cross multiply
    68,862x = 145,924 × 145,924
  4. Step 4: Simplify right side
    68,862x = 21,293,813,776
  5. Step 5: Solve for x
    x = 21,293,813,776/68,862
  6. Step 6: Final answer
    x = 309,224.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.