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Finding the Third Proportional to 5,215,221 and 8,068,414.50

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Solution

The third proportional to 5,215,221 and 8,068,414.50 is: 12,482,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,221 : 8,068,414.50 = 8,068,414.50 : x
  2. Step 2: Convert to fraction form
    5,215,221/8,068,414.50 = 8,068,414.50/x
  3. Step 3: Cross multiply
    5,215,221x = 8,068,414.50 × 8,068,414.50
  4. Step 4: Simplify right side
    5,215,221x = 65,099,312,543,810.25
  5. Step 5: Solve for x
    x = 65,099,312,543,810.25/5,215,221
  6. Step 6: Final answer
    x = 12,482,560.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.