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Finding the Third Proportional to 135,284,322 and 289,700,508

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Solution

The third proportional to 135,284,322 and 289,700,508 is: 620,370,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,284,322 : 289,700,508 = 289,700,508 : x
  2. Step 2: Convert to fraction form
    135,284,322/289,700,508 = 289,700,508/x
  3. Step 3: Cross multiply
    135,284,322x = 289,700,508 × 289,700,508
  4. Step 4: Simplify right side
    135,284,322x = 83,926,384,335,458,064
  5. Step 5: Solve for x
    x = 83,926,384,335,458,064/135,284,322
  6. Step 6: Final answer
    x = 620,370,365.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.