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Finding the Third Proportional to 280,479,375 and 419,149,252.13

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Solution

The third proportional to 280,479,375 and 419,149,252.13 is: 626,377,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479,375 : 419,149,252.13 = 419,149,252.13 : x
  2. Step 2: Convert to fraction form
    280,479,375/419,149,252.13 = 419,149,252.13/x
  3. Step 3: Cross multiply
    280,479,375x = 419,149,252.13 × 419,149,252.13
  4. Step 4: Simplify right side
    280,479,375x = 175,686,095,556,946,816
  5. Step 5: Solve for x
    x = 175,686,095,556,946,816/280,479,375
  6. Step 6: Final answer
    x = 626,377,948.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.