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Finding the Third Proportional to 387,121 and 833,565

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Solution

The third proportional to 387,121 and 833,565 is: 1,794,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,121 : 833,565 = 833,565 : x
  2. Step 2: Convert to fraction form
    387,121/833,565 = 833,565/x
  3. Step 3: Cross multiply
    387,121x = 833,565 × 833,565
  4. Step 4: Simplify right side
    387,121x = 694,830,609,225
  5. Step 5: Solve for x
    x = 694,830,609,225/387,121
  6. Step 6: Final answer
    x = 1,794,866.75

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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.