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Finding the Third Proportional to 578,608 and 894,120

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Solution

The third proportional to 578,608 and 894,120 is: 1,381,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,608 : 894,120 = 894,120 : x
  2. Step 2: Convert to fraction form
    578,608/894,120 = 894,120/x
  3. Step 3: Cross multiply
    578,608x = 894,120 × 894,120
  4. Step 4: Simplify right side
    578,608x = 799,450,574,400
  5. Step 5: Solve for x
    x = 799,450,574,400/578,608
  6. Step 6: Final answer
    x = 1,381,679.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.