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Finding the Third Proportional to 523,455.75 and 789,561

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Solution

The third proportional to 523,455.75 and 789,561 is: 1,190,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,455.75 : 789,561 = 789,561 : x
  2. Step 2: Convert to fraction form
    523,455.75/789,561 = 789,561/x
  3. Step 3: Cross multiply
    523,455.75x = 789,561 × 789,561
  4. Step 4: Simplify right side
    523,455.75x = 623,406,572,721
  5. Step 5: Solve for x
    x = 623,406,572,721/523,455.75
  6. Step 6: Final answer
    x = 1,190,944.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.