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Finding the Third Proportional to 682,644 and 918,972

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Solution

The third proportional to 682,644 and 918,972 is: 1,237,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,644 : 918,972 = 918,972 : x
  2. Step 2: Convert to fraction form
    682,644/918,972 = 918,972/x
  3. Step 3: Cross multiply
    682,644x = 918,972 × 918,972
  4. Step 4: Simplify right side
    682,644x = 844,509,536,784
  5. Step 5: Solve for x
    x = 844,509,536,784/682,644
  6. Step 6: Final answer
    x = 1,237,115.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.