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Finding the Third Proportional to 420,064 and 638,859

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Solution

The third proportional to 420,064 and 638,859 is: 971,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,064 : 638,859 = 638,859 : x
  2. Step 2: Convert to fraction form
    420,064/638,859 = 638,859/x
  3. Step 3: Cross multiply
    420,064x = 638,859 × 638,859
  4. Step 4: Simplify right side
    420,064x = 408,140,821,881
  5. Step 5: Solve for x
    x = 408,140,821,881/420,064
  6. Step 6: Final answer
    x = 971,615.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.