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Finding the Third Proportional to 353,791 and 740,378

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Solution

The third proportional to 353,791 and 740,378 is: 1,549,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,791 : 740,378 = 740,378 : x
  2. Step 2: Convert to fraction form
    353,791/740,378 = 740,378/x
  3. Step 3: Cross multiply
    353,791x = 740,378 × 740,378
  4. Step 4: Simplify right side
    353,791x = 548,159,582,884
  5. Step 5: Solve for x
    x = 548,159,582,884/353,791
  6. Step 6: Final answer
    x = 1,549,388.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.