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Finding the Third Proportional to 386,712 and 856,368

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Solution

The third proportional to 386,712 and 856,368 is: 1,896,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,712 : 856,368 = 856,368 : x
  2. Step 2: Convert to fraction form
    386,712/856,368 = 856,368/x
  3. Step 3: Cross multiply
    386,712x = 856,368 × 856,368
  4. Step 4: Simplify right side
    386,712x = 733,366,151,424
  5. Step 5: Solve for x
    x = 733,366,151,424/386,712
  6. Step 6: Final answer
    x = 1,896,414.26

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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.