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Finding the Third Proportional to 438,960 and 649,152

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Solution

The third proportional to 438,960 and 649,152 is: 959,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,960 : 649,152 = 649,152 : x
  2. Step 2: Convert to fraction form
    438,960/649,152 = 649,152/x
  3. Step 3: Cross multiply
    438,960x = 649,152 × 649,152
  4. Step 4: Simplify right side
    438,960x = 421,398,319,104
  5. Step 5: Solve for x
    x = 421,398,319,104/438,960
  6. Step 6: Final answer
    x = 959,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.