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Finding the Third Proportional to 387,240 and 838,832

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Solution

The third proportional to 387,240 and 838,832 is: 1,817,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,240 : 838,832 = 838,832 : x
  2. Step 2: Convert to fraction form
    387,240/838,832 = 838,832/x
  3. Step 3: Cross multiply
    387,240x = 838,832 × 838,832
  4. Step 4: Simplify right side
    387,240x = 703,639,124,224
  5. Step 5: Solve for x
    x = 703,639,124,224/387,240
  6. Step 6: Final answer
    x = 1,817,062.09

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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.