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Finding the Third Proportional to 51,687,720 and 81,094,176

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Solution

The third proportional to 51,687,720 and 81,094,176 is: 127,230,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,687,720 : 81,094,176 = 81,094,176 : x
  2. Step 2: Convert to fraction form
    51,687,720/81,094,176 = 81,094,176/x
  3. Step 3: Cross multiply
    51,687,720x = 81,094,176 × 81,094,176
  4. Step 4: Simplify right side
    51,687,720x = 6,576,265,381,118,976
  5. Step 5: Solve for x
    x = 6,576,265,381,118,976/51,687,720
  6. Step 6: Final answer
    x = 127,230,711.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.