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Finding the Third Proportional to 66,288 and 136,461

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Solution

The third proportional to 66,288 and 136,461 is: 280,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,288 : 136,461 = 136,461 : x
  2. Step 2: Convert to fraction form
    66,288/136,461 = 136,461/x
  3. Step 3: Cross multiply
    66,288x = 136,461 × 136,461
  4. Step 4: Simplify right side
    66,288x = 18,621,604,521
  5. Step 5: Solve for x
    x = 18,621,604,521/66,288
  6. Step 6: Final answer
    x = 280,919.69

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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.