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Finding the Third Proportional to 646,179.75 and 1,409,859

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Solution

The third proportional to 646,179.75 and 1,409,859 is: 3,076,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,179.75 : 1,409,859 = 1,409,859 : x
  2. Step 2: Convert to fraction form
    646,179.75/1,409,859 = 1,409,859/x
  3. Step 3: Cross multiply
    646,179.75x = 1,409,859 × 1,409,859
  4. Step 4: Simplify right side
    646,179.75x = 1,987,702,399,881
  5. Step 5: Solve for x
    x = 1,987,702,399,881/646,179.75
  6. Step 6: Final answer
    x = 3,076,082.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.