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Finding the Third Proportional to 289,199.44 and 626,664.56

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Solution

The third proportional to 289,199.44 and 626,664.56 is: 1,357,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,199.44 : 626,664.56 = 626,664.56 : x
  2. Step 2: Convert to fraction form
    289,199.44/626,664.56 = 626,664.56/x
  3. Step 3: Cross multiply
    289,199.44x = 626,664.56 × 626,664.56
  4. Step 4: Simplify right side
    289,199.44x = 392,708,473,893.32
  5. Step 5: Solve for x
    x = 392,708,473,893.32/289,199.44
  6. Step 6: Final answer
    x = 1,357,915.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.