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Finding the Third Proportional to 378,276 and 575,274

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Solution

The third proportional to 378,276 and 575,274 is: 874,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,276 : 575,274 = 575,274 : x
  2. Step 2: Convert to fraction form
    378,276/575,274 = 575,274/x
  3. Step 3: Cross multiply
    378,276x = 575,274 × 575,274
  4. Step 4: Simplify right side
    378,276x = 330,940,175,076
  5. Step 5: Solve for x
    x = 330,940,175,076/378,276
  6. Step 6: Final answer
    x = 874,864.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.