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Finding the Third Proportional to 388,542 and 845,448

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Solution

The third proportional to 388,542 and 845,448 is: 1,839,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,542 : 845,448 = 845,448 : x
  2. Step 2: Convert to fraction form
    388,542/845,448 = 845,448/x
  3. Step 3: Cross multiply
    388,542x = 845,448 × 845,448
  4. Step 4: Simplify right side
    388,542x = 714,782,320,704
  5. Step 5: Solve for x
    x = 714,782,320,704/388,542
  6. Step 6: Final answer
    x = 1,839,652.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.