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Finding the Third Proportional to 30,154 and 66,323

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Solution

The third proportional to 30,154 and 66,323 is: 145,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154 : 66,323 = 66,323 : x
  2. Step 2: Convert to fraction form
    30,154/66,323 = 66,323/x
  3. Step 3: Cross multiply
    30,154x = 66,323 × 66,323
  4. Step 4: Simplify right side
    30,154x = 4,398,740,329
  5. Step 5: Solve for x
    x = 4,398,740,329/30,154
  6. Step 6: Final answer
    x = 145,875.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.