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Finding the Third Proportional to 978,029.50 and 2,100,674.50

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Solution

The third proportional to 978,029.50 and 2,100,674.50 is: 4,511,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,029.50 : 2,100,674.50 = 2,100,674.50 : x
  2. Step 2: Convert to fraction form
    978,029.50/2,100,674.50 = 2,100,674.50/x
  3. Step 3: Cross multiply
    978,029.50x = 2,100,674.50 × 2,100,674.50
  4. Step 4: Simplify right side
    978,029.50x = 4,412,833,354,950.25
  5. Step 5: Solve for x
    x = 4,412,833,354,950.25/978,029.50
  6. Step 6: Final answer
    x = 4,511,963.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.