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Finding the Third Proportional to 174,420 and 378,486

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Solution

The third proportional to 174,420 and 378,486 is: 821,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,420 : 378,486 = 378,486 : x
  2. Step 2: Convert to fraction form
    174,420/378,486 = 378,486/x
  3. Step 3: Cross multiply
    174,420x = 378,486 × 378,486
  4. Step 4: Simplify right side
    174,420x = 143,251,652,196
  5. Step 5: Solve for x
    x = 143,251,652,196/174,420
  6. Step 6: Final answer
    x = 821,302.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.