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Finding the Third Proportional to 66,303 and 136,433.25

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Solution

The third proportional to 66,303 and 136,433.25 is: 280,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,303 : 136,433.25 = 136,433.25 : x
  2. Step 2: Convert to fraction form
    66,303/136,433.25 = 136,433.25/x
  3. Step 3: Cross multiply
    66,303x = 136,433.25 × 136,433.25
  4. Step 4: Simplify right side
    66,303x = 18,614,031,705.56
  5. Step 5: Solve for x
    x = 18,614,031,705.56/66,303
  6. Step 6: Final answer
    x = 280,741.92

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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.