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Finding the Third Proportional to 990,821 and 1,518,216

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Solution

The third proportional to 990,821 and 1,518,216 is: 2,326,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,821 : 1,518,216 = 1,518,216 : x
  2. Step 2: Convert to fraction form
    990,821/1,518,216 = 1,518,216/x
  3. Step 3: Cross multiply
    990,821x = 1,518,216 × 1,518,216
  4. Step 4: Simplify right side
    990,821x = 2,304,979,822,656
  5. Step 5: Solve for x
    x = 2,304,979,822,656/990,821
  6. Step 6: Final answer
    x = 2,326,333.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.