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Finding the Third Proportional to 507,151 and 789,807

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Solution

The third proportional to 507,151 and 789,807 is: 1,229,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,151 : 789,807 = 789,807 : x
  2. Step 2: Convert to fraction form
    507,151/789,807 = 789,807/x
  3. Step 3: Cross multiply
    507,151x = 789,807 × 789,807
  4. Step 4: Simplify right side
    507,151x = 623,795,097,249
  5. Step 5: Solve for x
    x = 623,795,097,249/507,151
  6. Step 6: Final answer
    x = 1,229,998.75

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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.