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Finding the Third Proportional to 393,692 and 610,771

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Solution

The third proportional to 393,692 and 610,771 is: 947,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,692 : 610,771 = 610,771 : x
  2. Step 2: Convert to fraction form
    393,692/610,771 = 610,771/x
  3. Step 3: Cross multiply
    393,692x = 610,771 × 610,771
  4. Step 4: Simplify right side
    393,692x = 373,041,214,441
  5. Step 5: Solve for x
    x = 373,041,214,441/393,692
  6. Step 6: Final answer
    x = 947,545.83

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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.