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Finding the Third Proportional to 30,411 and 66,366

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Solution

The third proportional to 30,411 and 66,366 is: 144,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411 : 66,366 = 66,366 : x
  2. Step 2: Convert to fraction form
    30,411/66,366 = 66,366/x
  3. Step 3: Cross multiply
    30,411x = 66,366 × 66,366
  4. Step 4: Simplify right side
    30,411x = 4,404,445,956
  5. Step 5: Solve for x
    x = 4,404,445,956/30,411
  6. Step 6: Final answer
    x = 144,830.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.