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Finding the Third Proportional to 359,559 and 789,102

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Solution

The third proportional to 359,559 and 789,102 is: 1,731,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,559 : 789,102 = 789,102 : x
  2. Step 2: Convert to fraction form
    359,559/789,102 = 789,102/x
  3. Step 3: Cross multiply
    359,559x = 789,102 × 789,102
  4. Step 4: Simplify right side
    359,559x = 622,681,966,404
  5. Step 5: Solve for x
    x = 622,681,966,404/359,559
  6. Step 6: Final answer
    x = 1,731,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.