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Finding the Third Proportional to 78,930,084 and 166,497,738

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Solution

The third proportional to 78,930,084 and 166,497,738 is: 351,215,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930,084 : 166,497,738 = 166,497,738 : x
  2. Step 2: Convert to fraction form
    78,930,084/166,497,738 = 166,497,738/x
  3. Step 3: Cross multiply
    78,930,084x = 166,497,738 × 166,497,738
  4. Step 4: Simplify right side
    78,930,084x = 27,721,496,759,116,644
  5. Step 5: Solve for x
    x = 27,721,496,759,116,644/78,930,084
  6. Step 6: Final answer
    x = 351,215,852.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.