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Finding the Third Proportional to 392,490 and 621,807

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Solution

The third proportional to 392,490 and 621,807 is: 985,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,490 : 621,807 = 621,807 : x
  2. Step 2: Convert to fraction form
    392,490/621,807 = 621,807/x
  3. Step 3: Cross multiply
    392,490x = 621,807 × 621,807
  4. Step 4: Simplify right side
    392,490x = 386,643,945,249
  5. Step 5: Solve for x
    x = 386,643,945,249/392,490
  6. Step 6: Final answer
    x = 985,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.