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Finding the Third Proportional to 387,824 and 808,858

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Solution

The third proportional to 387,824 and 808,858 is: 1,686,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,824 : 808,858 = 808,858 : x
  2. Step 2: Convert to fraction form
    387,824/808,858 = 808,858/x
  3. Step 3: Cross multiply
    387,824x = 808,858 × 808,858
  4. Step 4: Simplify right side
    387,824x = 654,251,264,164
  5. Step 5: Solve for x
    x = 654,251,264,164/387,824
  6. Step 6: Final answer
    x = 1,686,979.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.