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Finding the Third Proportional to 542,703 and 797,805

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Solution

The third proportional to 542,703 and 797,805 is: 1,172,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,703 : 797,805 = 797,805 : x
  2. Step 2: Convert to fraction form
    542,703/797,805 = 797,805/x
  3. Step 3: Cross multiply
    542,703x = 797,805 × 797,805
  4. Step 4: Simplify right side
    542,703x = 636,492,818,025
  5. Step 5: Solve for x
    x = 636,492,818,025/542,703
  6. Step 6: Final answer
    x = 1,172,819.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.