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Finding the Third Proportional to 392,868 and 614,574

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Solution

The third proportional to 392,868 and 614,574 is: 961,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,868 : 614,574 = 614,574 : x
  2. Step 2: Convert to fraction form
    392,868/614,574 = 614,574/x
  3. Step 3: Cross multiply
    392,868x = 614,574 × 614,574
  4. Step 4: Simplify right side
    392,868x = 377,701,201,476
  5. Step 5: Solve for x
    x = 377,701,201,476/392,868
  6. Step 6: Final answer
    x = 961,394.67

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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.