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Finding the Third Proportional to 166,915,540 and 358,512,086

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Solution

The third proportional to 166,915,540 and 358,512,086 is: 770,035,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,915,540 : 358,512,086 = 358,512,086 : x
  2. Step 2: Convert to fraction form
    166,915,540/358,512,086 = 358,512,086/x
  3. Step 3: Cross multiply
    166,915,540x = 358,512,086 × 358,512,086
  4. Step 4: Simplify right side
    166,915,540x = 128,530,915,808,071,392
  5. Step 5: Solve for x
    x = 128,530,915,808,071,392/166,915,540
  6. Step 6: Final answer
    x = 770,035,646.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.