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Finding the Third Proportional to 389,906 and 810,457

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Solution

The third proportional to 389,906 and 810,457 is: 1,684,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906 : 810,457 = 810,457 : x
  2. Step 2: Convert to fraction form
    389,906/810,457 = 810,457/x
  3. Step 3: Cross multiply
    389,906x = 810,457 × 810,457
  4. Step 4: Simplify right side
    389,906x = 656,840,548,849
  5. Step 5: Solve for x
    x = 656,840,548,849/389,906
  6. Step 6: Final answer
    x = 1,684,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.