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Finding the Third Proportional to 214,150,878 and 288,939,817

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Solution

The third proportional to 214,150,878 and 288,939,817 is: 389,847,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,878 : 288,939,817 = 288,939,817 : x
  2. Step 2: Convert to fraction form
    214,150,878/288,939,817 = 288,939,817/x
  3. Step 3: Cross multiply
    214,150,878x = 288,939,817 × 288,939,817
  4. Step 4: Simplify right side
    214,150,878x = 83,486,217,847,993,488
  5. Step 5: Solve for x
    x = 83,486,217,847,993,488/214,150,878
  6. Step 6: Final answer
    x = 389,847,656.14

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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.