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Finding the Third Proportional to 66,303 and 136,494

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Solution

The third proportional to 66,303 and 136,494 is: 280,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,303 : 136,494 = 136,494 : x
  2. Step 2: Convert to fraction form
    66,303/136,494 = 136,494/x
  3. Step 3: Cross multiply
    66,303x = 136,494 × 136,494
  4. Step 4: Simplify right side
    66,303x = 18,630,612,036
  5. Step 5: Solve for x
    x = 18,630,612,036/66,303
  6. Step 6: Final answer
    x = 280,991.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.