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Finding the Third Proportional to 430,137 and 629,991

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Solution

The third proportional to 430,137 and 629,991 is: 922,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,137 : 629,991 = 629,991 : x
  2. Step 2: Convert to fraction form
    430,137/629,991 = 629,991/x
  3. Step 3: Cross multiply
    430,137x = 629,991 × 629,991
  4. Step 4: Simplify right side
    430,137x = 396,888,660,081
  5. Step 5: Solve for x
    x = 396,888,660,081/430,137
  6. Step 6: Final answer
    x = 922,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.