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Finding the Third Proportional to 646,173 and 1,409,847

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Solution

The third proportional to 646,173 and 1,409,847 is: 3,076,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,173 : 1,409,847 = 1,409,847 : x
  2. Step 2: Convert to fraction form
    646,173/1,409,847 = 1,409,847/x
  3. Step 3: Cross multiply
    646,173x = 1,409,847 × 1,409,847
  4. Step 4: Simplify right side
    646,173x = 1,987,668,563,409
  5. Step 5: Solve for x
    x = 1,987,668,563,409/646,173
  6. Step 6: Final answer
    x = 3,076,062.55

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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.