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Finding the Third Proportional to 437,452 and 909,822

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Solution

The third proportional to 437,452 and 909,822 is: 1,892,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,452 : 909,822 = 909,822 : x
  2. Step 2: Convert to fraction form
    437,452/909,822 = 909,822/x
  3. Step 3: Cross multiply
    437,452x = 909,822 × 909,822
  4. Step 4: Simplify right side
    437,452x = 827,776,071,684
  5. Step 5: Solve for x
    x = 827,776,071,684/437,452
  6. Step 6: Final answer
    x = 1,892,267.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.