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Finding the Third Proportional to 385,528,009 and 587,331,399

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Solution

The third proportional to 385,528,009 and 587,331,399 is: 894,768,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,528,009 : 587,331,399 = 587,331,399 : x
  2. Step 2: Convert to fraction form
    385,528,009/587,331,399 = 587,331,399/x
  3. Step 3: Cross multiply
    385,528,009x = 587,331,399 × 587,331,399
  4. Step 4: Simplify right side
    385,528,009x = 344,958,172,251,297,216
  5. Step 5: Solve for x
    x = 344,958,172,251,297,216/385,528,009
  6. Step 6: Final answer
    x = 894,768,121.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.