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Finding the Third Proportional to 450,648 and 989,424

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Solution

The third proportional to 450,648 and 989,424 is: 2,172,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,648 : 989,424 = 989,424 : x
  2. Step 2: Convert to fraction form
    450,648/989,424 = 989,424/x
  3. Step 3: Cross multiply
    450,648x = 989,424 × 989,424
  4. Step 4: Simplify right side
    450,648x = 978,959,851,776
  5. Step 5: Solve for x
    x = 978,959,851,776/450,648
  6. Step 6: Final answer
    x = 2,172,338.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.