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Finding the Third Proportional to 511,440 and 782,733

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Solution

The third proportional to 511,440 and 782,733 is: 1,197,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,440 : 782,733 = 782,733 : x
  2. Step 2: Convert to fraction form
    511,440/782,733 = 782,733/x
  3. Step 3: Cross multiply
    511,440x = 782,733 × 782,733
  4. Step 4: Simplify right side
    511,440x = 612,670,949,289
  5. Step 5: Solve for x
    x = 612,670,949,289/511,440
  6. Step 6: Final answer
    x = 1,197,933.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.