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Finding the Third Proportional to 388,467 and 845,298

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Solution

The third proportional to 388,467 and 845,298 is: 1,839,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,467 : 845,298 = 845,298 : x
  2. Step 2: Convert to fraction form
    388,467/845,298 = 845,298/x
  3. Step 3: Cross multiply
    388,467x = 845,298 × 845,298
  4. Step 4: Simplify right side
    388,467x = 714,528,708,804
  5. Step 5: Solve for x
    x = 714,528,708,804/388,467
  6. Step 6: Final answer
    x = 1,839,354.97

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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.