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Finding the Third Proportional to 386,670 and 856,284

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Solution

The third proportional to 386,670 and 856,284 is: 1,896,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,670 : 856,284 = 856,284 : x
  2. Step 2: Convert to fraction form
    386,670/856,284 = 856,284/x
  3. Step 3: Cross multiply
    386,670x = 856,284 × 856,284
  4. Step 4: Simplify right side
    386,670x = 733,222,288,656
  5. Step 5: Solve for x
    x = 733,222,288,656/386,670
  6. Step 6: Final answer
    x = 1,896,248.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.