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Finding the Third Proportional to 640,558 and 1,482,739

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Solution

The third proportional to 640,558 and 1,482,739 is: 3,432,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,558 : 1,482,739 = 1,482,739 : x
  2. Step 2: Convert to fraction form
    640,558/1,482,739 = 1,482,739/x
  3. Step 3: Cross multiply
    640,558x = 1,482,739 × 1,482,739
  4. Step 4: Simplify right side
    640,558x = 2,198,514,942,121
  5. Step 5: Solve for x
    x = 2,198,514,942,121/640,558
  6. Step 6: Final answer
    x = 3,432,187.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.