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Finding the Third Proportional to 387,288 and 833,904

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Solution

The third proportional to 387,288 and 833,904 is: 1,795,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,288 : 833,904 = 833,904 : x
  2. Step 2: Convert to fraction form
    387,288/833,904 = 833,904/x
  3. Step 3: Cross multiply
    387,288x = 833,904 × 833,904
  4. Step 4: Simplify right side
    387,288x = 695,395,881,216
  5. Step 5: Solve for x
    x = 695,395,881,216/387,288
  6. Step 6: Final answer
    x = 1,795,552.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.