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Finding the Third Proportional to 70,788,288 and 166,867,672.50

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Solution

The third proportional to 70,788,288 and 166,867,672.50 is: 393,353,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788,288 : 166,867,672.50 = 166,867,672.50 : x
  2. Step 2: Convert to fraction form
    70,788,288/166,867,672.50 = 166,867,672.50/x
  3. Step 3: Cross multiply
    70,788,288x = 166,867,672.50 × 166,867,672.50
  4. Step 4: Simplify right side
    70,788,288x = 27,844,820,125,567,256
  5. Step 5: Solve for x
    x = 27,844,820,125,567,256/70,788,288
  6. Step 6: Final answer
    x = 393,353,489.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.