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Finding the Third Proportional to 378,200 and 559,832

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Solution

The third proportional to 378,200 and 559,832 is: 828,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,200 : 559,832 = 559,832 : x
  2. Step 2: Convert to fraction form
    378,200/559,832 = 559,832/x
  3. Step 3: Cross multiply
    378,200x = 559,832 × 559,832
  4. Step 4: Simplify right side
    378,200x = 313,411,868,224
  5. Step 5: Solve for x
    x = 313,411,868,224/378,200
  6. Step 6: Final answer
    x = 828,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.