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Finding the Third Proportional to 387,220 and 833,770

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Solution

The third proportional to 387,220 and 833,770 is: 1,795,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,220 : 833,770 = 833,770 : x
  2. Step 2: Convert to fraction form
    387,220/833,770 = 833,770/x
  3. Step 3: Cross multiply
    387,220x = 833,770 × 833,770
  4. Step 4: Simplify right side
    387,220x = 695,172,412,900
  5. Step 5: Solve for x
    x = 695,172,412,900/387,220
  6. Step 6: Final answer
    x = 1,795,290.57

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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.