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Finding the Third Proportional to 30,827 and 66,403

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Solution

The third proportional to 30,827 and 66,403 is: 143,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827 : 66,403 = 66,403 : x
  2. Step 2: Convert to fraction form
    30,827/66,403 = 66,403/x
  3. Step 3: Cross multiply
    30,827x = 66,403 × 66,403
  4. Step 4: Simplify right side
    30,827x = 4,409,358,409
  5. Step 5: Solve for x
    x = 4,409,358,409/30,827
  6. Step 6: Final answer
    x = 143,035.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.