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Finding the Third Proportional to 215,263,920 and 459,229,068

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Solution

The third proportional to 215,263,920 and 459,229,068 is: 979,687,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,263,920 : 459,229,068 = 459,229,068 : x
  2. Step 2: Convert to fraction form
    215,263,920/459,229,068 = 459,229,068/x
  3. Step 3: Cross multiply
    215,263,920x = 459,229,068 × 459,229,068
  4. Step 4: Simplify right side
    215,263,920x = 210,891,336,896,148,608
  5. Step 5: Solve for x
    x = 210,891,336,896,148,608/215,263,920
  6. Step 6: Final answer
    x = 979,687,338.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.