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Finding the Third Proportional to 646,650 and 1,409,112

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Solution

The third proportional to 646,650 and 1,409,112 is: 3,070,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,650 : 1,409,112 = 1,409,112 : x
  2. Step 2: Convert to fraction form
    646,650/1,409,112 = 1,409,112/x
  3. Step 3: Cross multiply
    646,650x = 1,409,112 × 1,409,112
  4. Step 4: Simplify right side
    646,650x = 1,985,596,628,544
  5. Step 5: Solve for x
    x = 1,985,596,628,544/646,650
  6. Step 6: Final answer
    x = 3,070,589.39

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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.