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Finding the Third Proportional to 371,712 and 818,448

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Solution

The third proportional to 371,712 and 818,448 is: 1,802,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,712 : 818,448 = 818,448 : x
  2. Step 2: Convert to fraction form
    371,712/818,448 = 818,448/x
  3. Step 3: Cross multiply
    371,712x = 818,448 × 818,448
  4. Step 4: Simplify right side
    371,712x = 669,857,128,704
  5. Step 5: Solve for x
    x = 669,857,128,704/371,712
  6. Step 6: Final answer
    x = 1,802,086.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.