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Finding the Third Proportional to 387,236 and 833,798

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Solution

The third proportional to 387,236 and 833,798 is: 1,795,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,236 : 833,798 = 833,798 : x
  2. Step 2: Convert to fraction form
    387,236/833,798 = 833,798/x
  3. Step 3: Cross multiply
    387,236x = 833,798 × 833,798
  4. Step 4: Simplify right side
    387,236x = 695,219,104,804
  5. Step 5: Solve for x
    x = 695,219,104,804/387,236
  6. Step 6: Final answer
    x = 1,795,336.96

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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.