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Finding the Third Proportional to 52,421,872 and 82,055,285

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Solution

The third proportional to 52,421,872 and 82,055,285 is: 128,440,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421,872 : 82,055,285 = 82,055,285 : x
  2. Step 2: Convert to fraction form
    52,421,872/82,055,285 = 82,055,285/x
  3. Step 3: Cross multiply
    52,421,872x = 82,055,285 × 82,055,285
  4. Step 4: Simplify right side
    52,421,872x = 6,733,069,796,431,225
  5. Step 5: Solve for x
    x = 6,733,069,796,431,225/52,421,872
  6. Step 6: Final answer
    x = 128,440,086.92

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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.