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Finding the Third Proportional to 653,760 and 989,296

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Solution

The third proportional to 653,760 and 989,296 is: 1,497,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,760 : 989,296 = 989,296 : x
  2. Step 2: Convert to fraction form
    653,760/989,296 = 989,296/x
  3. Step 3: Cross multiply
    653,760x = 989,296 × 989,296
  4. Step 4: Simplify right side
    653,760x = 978,706,575,616
  5. Step 5: Solve for x
    x = 978,706,575,616/653,760
  6. Step 6: Final answer
    x = 1,497,042.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.