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Finding the Third Proportional to 398,469 and 609,813

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Solution

The third proportional to 398,469 and 609,813 is: 933,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469 : 609,813 = 609,813 : x
  2. Step 2: Convert to fraction form
    398,469/609,813 = 609,813/x
  3. Step 3: Cross multiply
    398,469x = 609,813 × 609,813
  4. Step 4: Simplify right side
    398,469x = 371,871,894,969
  5. Step 5: Solve for x
    x = 371,871,894,969/398,469
  6. Step 6: Final answer
    x = 933,251.76

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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.