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Finding the Third Proportional to 442,336,329 and 958,277,223

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Solution

The third proportional to 442,336,329 and 958,277,223 is: 2,076,011,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,336,329 : 958,277,223 = 958,277,223 : x
  2. Step 2: Convert to fraction form
    442,336,329/958,277,223 = 958,277,223/x
  3. Step 3: Cross multiply
    442,336,329x = 958,277,223 × 958,277,223
  4. Step 4: Simplify right side
    442,336,329x = 918,295,236,120,591,744
  5. Step 5: Solve for x
    x = 918,295,236,120,591,744/442,336,329
  6. Step 6: Final answer
    x = 2,076,011,342.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.