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Finding the Third Proportional to 378,402 and 808,212

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Solution

The third proportional to 378,402 and 808,212 is: 1,726,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402 : 808,212 = 808,212 : x
  2. Step 2: Convert to fraction form
    378,402/808,212 = 808,212/x
  3. Step 3: Cross multiply
    378,402x = 808,212 × 808,212
  4. Step 4: Simplify right side
    378,402x = 653,206,636,944
  5. Step 5: Solve for x
    x = 653,206,636,944/378,402
  6. Step 6: Final answer
    x = 1,726,224.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.