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Finding the Third Proportional to 689,980.78 and 1,611,672.19

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Solution

The third proportional to 689,980.78 and 1,611,672.19 is: 3,764,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,980.78 : 1,611,672.19 = 1,611,672.19 : x
  2. Step 2: Convert to fraction form
    689,980.78/1,611,672.19 = 1,611,672.19/x
  3. Step 3: Cross multiply
    689,980.78x = 1,611,672.19 × 1,611,672.19
  4. Step 4: Simplify right side
    689,980.78x = 2,597,487,239,961.04
  5. Step 5: Solve for x
    x = 2,597,487,239,961.04/689,980.78
  6. Step 6: Final answer
    x = 3,764,579.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.