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Finding the Third Proportional to 407,513 and 629,738

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Solution

The third proportional to 407,513 and 629,738 is: 973,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,513 : 629,738 = 629,738 : x
  2. Step 2: Convert to fraction form
    407,513/629,738 = 629,738/x
  3. Step 3: Cross multiply
    407,513x = 629,738 × 629,738
  4. Step 4: Simplify right side
    407,513x = 396,569,948,644
  5. Step 5: Solve for x
    x = 396,569,948,644/407,513
  6. Step 6: Final answer
    x = 973,146.74

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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.