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Finding the Third Proportional to 180,218,668 and 279,182,274

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Solution

The third proportional to 180,218,668 and 279,182,274 is: 432,489,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,218,668 : 279,182,274 = 279,182,274 : x
  2. Step 2: Convert to fraction form
    180,218,668/279,182,274 = 279,182,274/x
  3. Step 3: Cross multiply
    180,218,668x = 279,182,274 × 279,182,274
  4. Step 4: Simplify right side
    180,218,668x = 77,942,742,115,811,072
  5. Step 5: Solve for x
    x = 77,942,742,115,811,072/180,218,668
  6. Step 6: Final answer
    x = 432,489,835.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.