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Finding the Third Proportional to 507,140.50 and 789,791

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Solution

The third proportional to 507,140.50 and 789,791 is: 1,229,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,140.50 : 789,791 = 789,791 : x
  2. Step 2: Convert to fraction form
    507,140.50/789,791 = 789,791/x
  3. Step 3: Cross multiply
    507,140.50x = 789,791 × 789,791
  4. Step 4: Simplify right side
    507,140.50x = 623,769,823,681
  5. Step 5: Solve for x
    x = 623,769,823,681/507,140.50
  6. Step 6: Final answer
    x = 1,229,974.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.