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Finding the Third Proportional to 30,926 and 66,220

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Solution

The third proportional to 30,926 and 66,220 is: 141,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926 : 66,220 = 66,220 : x
  2. Step 2: Convert to fraction form
    30,926/66,220 = 66,220/x
  3. Step 3: Cross multiply
    30,926x = 66,220 × 66,220
  4. Step 4: Simplify right side
    30,926x = 4,385,088,400
  5. Step 5: Solve for x
    x = 4,385,088,400/30,926
  6. Step 6: Final answer
    x = 141,792.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.