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Finding the Third Proportional to 387,107 and 835,450

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Solution

The third proportional to 387,107 and 835,450 is: 1,803,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,107 : 835,450 = 835,450 : x
  2. Step 2: Convert to fraction form
    387,107/835,450 = 835,450/x
  3. Step 3: Cross multiply
    387,107x = 835,450 × 835,450
  4. Step 4: Simplify right side
    387,107x = 697,976,702,500
  5. Step 5: Solve for x
    x = 697,976,702,500/387,107
  6. Step 6: Final answer
    x = 1,803,058.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.