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Finding the Third Proportional to 214,150,872 and 288,939,806

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Solution

The third proportional to 214,150,872 and 288,939,806 is: 389,847,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,872 : 288,939,806 = 288,939,806 : x
  2. Step 2: Convert to fraction form
    214,150,872/288,939,806 = 288,939,806/x
  3. Step 3: Cross multiply
    214,150,872x = 288,939,806 × 288,939,806
  4. Step 4: Simplify right side
    214,150,872x = 83,486,211,491,317,632
  5. Step 5: Solve for x
    x = 83,486,211,491,317,632/214,150,872
  6. Step 6: Final answer
    x = 389,847,637.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.