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Finding the Third Proportional to 80,811,366 and 176,738,988

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Solution

The third proportional to 80,811,366 and 176,738,988 is: 386,538,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811,366 : 176,738,988 = 176,738,988 : x
  2. Step 2: Convert to fraction form
    80,811,366/176,738,988 = 176,738,988/x
  3. Step 3: Cross multiply
    80,811,366x = 176,738,988 × 176,738,988
  4. Step 4: Simplify right side
    80,811,366x = 31,236,669,879,264,144
  5. Step 5: Solve for x
    x = 31,236,669,879,264,144/80,811,366
  6. Step 6: Final answer
    x = 386,538,075.34

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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.