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Finding the Third Proportional to 416,815 and 645,814

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Solution

The third proportional to 416,815 and 645,814 is: 1,000,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,815 : 645,814 = 645,814 : x
  2. Step 2: Convert to fraction form
    416,815/645,814 = 645,814/x
  3. Step 3: Cross multiply
    416,815x = 645,814 × 645,814
  4. Step 4: Simplify right side
    416,815x = 417,075,722,596
  5. Step 5: Solve for x
    x = 417,075,722,596/416,815
  6. Step 6: Final answer
    x = 1,000,625.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.