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Finding the Third Proportional to 400,171 and 610,419

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Solution

The third proportional to 400,171 and 610,419 is: 931,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,171 : 610,419 = 610,419 : x
  2. Step 2: Convert to fraction form
    400,171/610,419 = 610,419/x
  3. Step 3: Cross multiply
    400,171x = 610,419 × 610,419
  4. Step 4: Simplify right side
    400,171x = 372,611,355,561
  5. Step 5: Solve for x
    x = 372,611,355,561/400,171
  6. Step 6: Final answer
    x = 931,130.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.