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Finding the Third Proportional to 386,924 and 808,840

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Solution

The third proportional to 386,924 and 808,840 is: 1,690,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,924 : 808,840 = 808,840 : x
  2. Step 2: Convert to fraction form
    386,924/808,840 = 808,840/x
  3. Step 3: Cross multiply
    386,924x = 808,840 × 808,840
  4. Step 4: Simplify right side
    386,924x = 654,222,145,600
  5. Step 5: Solve for x
    x = 654,222,145,600/386,924
  6. Step 6: Final answer
    x = 1,690,828.55

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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.