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Finding the Third Proportional to 507,981 and 696,579.38

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Solution

The third proportional to 507,981 and 696,579.38 is: 955,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,981 : 696,579.38 = 696,579.38 : x
  2. Step 2: Convert to fraction form
    507,981/696,579.38 = 696,579.38/x
  3. Step 3: Cross multiply
    507,981x = 696,579.38 × 696,579.38
  4. Step 4: Simplify right side
    507,981x = 485,222,825,675.39
  5. Step 5: Solve for x
    x = 485,222,825,675.39/507,981
  6. Step 6: Final answer
    x = 955,198.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.