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Finding the Third Proportional to 640,550 and 1,482,719

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Solution

The third proportional to 640,550 and 1,482,719 is: 3,432,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,550 : 1,482,719 = 1,482,719 : x
  2. Step 2: Convert to fraction form
    640,550/1,482,719 = 1,482,719/x
  3. Step 3: Cross multiply
    640,550x = 1,482,719 × 1,482,719
  4. Step 4: Simplify right side
    640,550x = 2,198,455,632,961
  5. Step 5: Solve for x
    x = 2,198,455,632,961/640,550
  6. Step 6: Final answer
    x = 3,432,137.43

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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.