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Finding the Third Proportional to 509,790 and 764,877

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Solution

The third proportional to 509,790 and 764,877 is: 1,147,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,790 : 764,877 = 764,877 : x
  2. Step 2: Convert to fraction form
    509,790/764,877 = 764,877/x
  3. Step 3: Cross multiply
    509,790x = 764,877 × 764,877
  4. Step 4: Simplify right side
    509,790x = 585,036,825,129
  5. Step 5: Solve for x
    x = 585,036,825,129/509,790
  6. Step 6: Final answer
    x = 1,147,603.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.