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Finding the Third Proportional to 360,810 and 512,859

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Solution

The third proportional to 360,810 and 512,859 is: 728,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,810 : 512,859 = 512,859 : x
  2. Step 2: Convert to fraction form
    360,810/512,859 = 512,859/x
  3. Step 3: Cross multiply
    360,810x = 512,859 × 512,859
  4. Step 4: Simplify right side
    360,810x = 263,024,353,881
  5. Step 5: Solve for x
    x = 263,024,353,881/360,810
  6. Step 6: Final answer
    x = 728,982.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.