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Finding the Third Proportional to 220,216 and 306,416

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Solution

The third proportional to 220,216 and 306,416 is: 426,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,216 : 306,416 = 306,416 : x
  2. Step 2: Convert to fraction form
    220,216/306,416 = 306,416/x
  3. Step 3: Cross multiply
    220,216x = 306,416 × 306,416
  4. Step 4: Simplify right side
    220,216x = 93,890,765,056
  5. Step 5: Solve for x
    x = 93,890,765,056/220,216
  6. Step 6: Final answer
    x = 426,357.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.