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Finding the Third Proportional to 646,178 and 1,409,857

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Solution

The third proportional to 646,178 and 1,409,857 is: 3,076,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,178 : 1,409,857 = 1,409,857 : x
  2. Step 2: Convert to fraction form
    646,178/1,409,857 = 1,409,857/x
  3. Step 3: Cross multiply
    646,178x = 1,409,857 × 1,409,857
  4. Step 4: Simplify right side
    646,178x = 1,987,696,760,449
  5. Step 5: Solve for x
    x = 1,987,696,760,449/646,178
  6. Step 6: Final answer
    x = 3,076,082.38

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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.