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Finding the Third Proportional to 387,330 and 838,976

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Solution

The third proportional to 387,330 and 838,976 is: 1,817,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,330 : 838,976 = 838,976 : x
  2. Step 2: Convert to fraction form
    387,330/838,976 = 838,976/x
  3. Step 3: Cross multiply
    387,330x = 838,976 × 838,976
  4. Step 4: Simplify right side
    387,330x = 703,880,728,576
  5. Step 5: Solve for x
    x = 703,880,728,576/387,330
  6. Step 6: Final answer
    x = 1,817,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.