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Finding the Third Proportional to 80,656,736 and 176,989,888

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Solution

The third proportional to 80,656,736 and 176,989,888 is: 388,379,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656,736 : 176,989,888 = 176,989,888 : x
  2. Step 2: Convert to fraction form
    80,656,736/176,989,888 = 176,989,888/x
  3. Step 3: Cross multiply
    80,656,736x = 176,989,888 × 176,989,888
  4. Step 4: Simplify right side
    80,656,736x = 31,325,420,454,252,544
  5. Step 5: Solve for x
    x = 31,325,420,454,252,544/80,656,736
  6. Step 6: Final answer
    x = 388,379,470.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.