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Finding the Third Proportional to 188,524 and 390,170

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Solution

The third proportional to 188,524 and 390,170 is: 807,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,524 : 390,170 = 390,170 : x
  2. Step 2: Convert to fraction form
    188,524/390,170 = 390,170/x
  3. Step 3: Cross multiply
    188,524x = 390,170 × 390,170
  4. Step 4: Simplify right side
    188,524x = 152,232,628,900
  5. Step 5: Solve for x
    x = 152,232,628,900/188,524
  6. Step 6: Final answer
    x = 807,497.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.