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Finding the Third Proportional to 475,817 and 645,904

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Solution

The third proportional to 475,817 and 645,904 is: 876,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,817 : 645,904 = 645,904 : x
  2. Step 2: Convert to fraction form
    475,817/645,904 = 645,904/x
  3. Step 3: Cross multiply
    475,817x = 645,904 × 645,904
  4. Step 4: Simplify right side
    475,817x = 417,191,977,216
  5. Step 5: Solve for x
    x = 417,191,977,216/475,817
  6. Step 6: Final answer
    x = 876,790.82

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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.