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Finding the Third Proportional to 475,811 and 645,895

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Solution

The third proportional to 475,811 and 645,895 is: 876,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,811 : 645,895 = 645,895 : x
  2. Step 2: Convert to fraction form
    475,811/645,895 = 645,895/x
  3. Step 3: Cross multiply
    475,811x = 645,895 × 645,895
  4. Step 4: Simplify right side
    475,811x = 417,180,351,025
  5. Step 5: Solve for x
    x = 417,180,351,025/475,811
  6. Step 6: Final answer
    x = 876,777.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.