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Finding the Third Proportional to 416,820 and 645,822

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Solution

The third proportional to 416,820 and 645,822 is: 1,000,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,820 : 645,822 = 645,822 : x
  2. Step 2: Convert to fraction form
    416,820/645,822 = 645,822/x
  3. Step 3: Cross multiply
    416,820x = 645,822 × 645,822
  4. Step 4: Simplify right side
    416,820x = 417,086,055,684
  5. Step 5: Solve for x
    x = 417,086,055,684/416,820
  6. Step 6: Final answer
    x = 1,000,638.30

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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.