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Finding the Third Proportional to 663,409 and 994,072

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Solution

The third proportional to 663,409 and 994,072 is: 1,489,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,409 : 994,072 = 994,072 : x
  2. Step 2: Convert to fraction form
    663,409/994,072 = 994,072/x
  3. Step 3: Cross multiply
    663,409x = 994,072 × 994,072
  4. Step 4: Simplify right side
    663,409x = 988,179,141,184
  5. Step 5: Solve for x
    x = 988,179,141,184/663,409
  6. Step 6: Final answer
    x = 1,489,547.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.