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Finding the Third Proportional to 475,815 and 645,901

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Solution

The third proportional to 475,815 and 645,901 is: 876,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,815 : 645,901 = 645,901 : x
  2. Step 2: Convert to fraction form
    475,815/645,901 = 645,901/x
  3. Step 3: Cross multiply
    475,815x = 645,901 × 645,901
  4. Step 4: Simplify right side
    475,815x = 417,188,101,801
  5. Step 5: Solve for x
    x = 417,188,101,801/475,815
  6. Step 6: Final answer
    x = 876,786.36

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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.