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Finding the Third Proportional to 270,688 and 378,438

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Solution

The third proportional to 270,688 and 378,438 is: 529,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,688 : 378,438 = 378,438 : x
  2. Step 2: Convert to fraction form
    270,688/378,438 = 378,438/x
  3. Step 3: Cross multiply
    270,688x = 378,438 × 378,438
  4. Step 4: Simplify right side
    270,688x = 143,215,319,844
  5. Step 5: Solve for x
    x = 143,215,319,844/270,688
  6. Step 6: Final answer
    x = 529,078.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.