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Finding the Third Proportional to 310,859 and 665,821

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Solution

The third proportional to 310,859 and 665,821 is: 1,426,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,859 : 665,821 = 665,821 : x
  2. Step 2: Convert to fraction form
    310,859/665,821 = 665,821/x
  3. Step 3: Cross multiply
    310,859x = 665,821 × 665,821
  4. Step 4: Simplify right side
    310,859x = 443,317,604,041
  5. Step 5: Solve for x
    x = 443,317,604,041/310,859
  6. Step 6: Final answer
    x = 1,426,105.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.