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Finding the Third Proportional to 77,311,668 and 166,728,612

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Solution

The third proportional to 77,311,668 and 166,728,612 is: 359,563,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311,668 : 166,728,612 = 166,728,612 : x
  2. Step 2: Convert to fraction form
    77,311,668/166,728,612 = 166,728,612/x
  3. Step 3: Cross multiply
    77,311,668x = 166,728,612 × 166,728,612
  4. Step 4: Simplify right side
    77,311,668x = 27,798,430,059,446,544
  5. Step 5: Solve for x
    x = 27,798,430,059,446,544/77,311,668
  6. Step 6: Final answer
    x = 359,563,191.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.