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Finding the Third Proportional to 643,104 and 979,632

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Solution

The third proportional to 643,104 and 979,632 is: 1,492,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,104 : 979,632 = 979,632 : x
  2. Step 2: Convert to fraction form
    643,104/979,632 = 979,632/x
  3. Step 3: Cross multiply
    643,104x = 979,632 × 979,632
  4. Step 4: Simplify right side
    643,104x = 959,678,855,424
  5. Step 5: Solve for x
    x = 959,678,855,424/643,104
  6. Step 6: Final answer
    x = 1,492,260.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.