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Finding the Third Proportional to 511,092 and 787,959

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Solution

The third proportional to 511,092 and 787,959 is: 1,214,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,092 : 787,959 = 787,959 : x
  2. Step 2: Convert to fraction form
    511,092/787,959 = 787,959/x
  3. Step 3: Cross multiply
    511,092x = 787,959 × 787,959
  4. Step 4: Simplify right side
    511,092x = 620,879,385,681
  5. Step 5: Solve for x
    x = 620,879,385,681/511,092
  6. Step 6: Final answer
    x = 1,214,809.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.