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Finding the Third Proportional to 68,865 and 145,998

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Solution

The third proportional to 68,865 and 145,998 is: 309,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,865 : 145,998 = 145,998 : x
  2. Step 2: Convert to fraction form
    68,865/145,998 = 145,998/x
  3. Step 3: Cross multiply
    68,865x = 145,998 × 145,998
  4. Step 4: Simplify right side
    68,865x = 21,315,416,004
  5. Step 5: Solve for x
    x = 21,315,416,004/68,865
  6. Step 6: Final answer
    x = 309,524.66

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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.