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Finding the Third Proportional to 37,871,900 and 81,797,236

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Solution

The third proportional to 37,871,900 and 81,797,236 is: 176,668,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,871,900 : 81,797,236 = 81,797,236 : x
  2. Step 2: Convert to fraction form
    37,871,900/81,797,236 = 81,797,236/x
  3. Step 3: Cross multiply
    37,871,900x = 81,797,236 × 81,797,236
  4. Step 4: Simplify right side
    37,871,900x = 6,690,787,817,239,696
  5. Step 5: Solve for x
    x = 6,690,787,817,239,696/37,871,900
  6. Step 6: Final answer
    x = 176,668,923.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.