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Finding the Third Proportional to 639,936 and 972,864

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Solution

The third proportional to 639,936 and 972,864 is: 1,478,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,936 : 972,864 = 972,864 : x
  2. Step 2: Convert to fraction form
    639,936/972,864 = 972,864/x
  3. Step 3: Cross multiply
    639,936x = 972,864 × 972,864
  4. Step 4: Simplify right side
    639,936x = 946,464,362,496
  5. Step 5: Solve for x
    x = 946,464,362,496/639,936
  6. Step 6: Final answer
    x = 1,478,998.47

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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.