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Finding the Third Proportional to 376,940 and 528,278

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Solution

The third proportional to 376,940 and 528,278 is: 740,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,940 : 528,278 = 528,278 : x
  2. Step 2: Convert to fraction form
    376,940/528,278 = 528,278/x
  3. Step 3: Cross multiply
    376,940x = 528,278 × 528,278
  4. Step 4: Simplify right side
    376,940x = 279,077,645,284
  5. Step 5: Solve for x
    x = 279,077,645,284/376,940
  6. Step 6: Final answer
    x = 740,376.84

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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.