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Finding the Third Proportional to 82,178,846 and 180,793,263.50

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Solution

The third proportional to 82,178,846 and 180,793,263.50 is: 397,744,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178,846 : 180,793,263.50 = 180,793,263.50 : x
  2. Step 2: Convert to fraction form
    82,178,846/180,793,263.50 = 180,793,263.50/x
  3. Step 3: Cross multiply
    82,178,846x = 180,793,263.50 × 180,793,263.50
  4. Step 4: Simplify right side
    82,178,846x = 32,686,204,126,980,432
  5. Step 5: Solve for x
    x = 32,686,204,126,980,432/82,178,846
  6. Step 6: Final answer
    x = 397,744,744.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.