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Finding the Third Proportional to 451,326 and 989,574

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Solution

The third proportional to 451,326 and 989,574 is: 2,169,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,326 : 989,574 = 989,574 : x
  2. Step 2: Convert to fraction form
    451,326/989,574 = 989,574/x
  3. Step 3: Cross multiply
    451,326x = 989,574 × 989,574
  4. Step 4: Simplify right side
    451,326x = 979,256,701,476
  5. Step 5: Solve for x
    x = 979,256,701,476/451,326
  6. Step 6: Final answer
    x = 2,169,732.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.