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Finding the Third Proportional to 407,511 and 629,734.50

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Solution

The third proportional to 407,511 and 629,734.50 is: 973,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,511 : 629,734.50 = 629,734.50 : x
  2. Step 2: Convert to fraction form
    407,511/629,734.50 = 629,734.50/x
  3. Step 3: Cross multiply
    407,511x = 629,734.50 × 629,734.50
  4. Step 4: Simplify right side
    407,511x = 396,565,540,490.25
  5. Step 5: Solve for x
    x = 396,565,540,490.25/407,511
  6. Step 6: Final answer
    x = 973,140.70

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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.