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Finding the Third Proportional to 403,782 and 626,977

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Solution

The third proportional to 403,782 and 626,977 is: 973,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,782 : 626,977 = 626,977 : x
  2. Step 2: Convert to fraction form
    403,782/626,977 = 626,977/x
  3. Step 3: Cross multiply
    403,782x = 626,977 × 626,977
  4. Step 4: Simplify right side
    403,782x = 393,100,158,529
  5. Step 5: Solve for x
    x = 393,100,158,529/403,782
  6. Step 6: Final answer
    x = 973,545.52

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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.