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Finding the Third Proportional to 351,904 and 782,320

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Solution

The third proportional to 351,904 and 782,320 is: 1,739,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,904 : 782,320 = 782,320 : x
  2. Step 2: Convert to fraction form
    351,904/782,320 = 782,320/x
  3. Step 3: Cross multiply
    351,904x = 782,320 × 782,320
  4. Step 4: Simplify right side
    351,904x = 612,024,582,400
  5. Step 5: Solve for x
    x = 612,024,582,400/351,904
  6. Step 6: Final answer
    x = 1,739,180.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.