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Finding the Third Proportional to 82,073,576 and 128,079,228

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Solution

The third proportional to 82,073,576 and 128,079,228 is: 199,872,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,073,576 : 128,079,228 = 128,079,228 : x
  2. Step 2: Convert to fraction form
    82,073,576/128,079,228 = 128,079,228/x
  3. Step 3: Cross multiply
    82,073,576x = 128,079,228 × 128,079,228
  4. Step 4: Simplify right side
    82,073,576x = 16,404,288,645,075,984
  5. Step 5: Solve for x
    x = 16,404,288,645,075,984/82,073,576
  6. Step 6: Final answer
    x = 199,872,960.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.