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Finding the Third Proportional to 978,030 and 2,100,676.50

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Solution

The third proportional to 978,030 and 2,100,676.50 is: 4,511,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,030 : 2,100,676.50 = 2,100,676.50 : x
  2. Step 2: Convert to fraction form
    978,030/2,100,676.50 = 2,100,676.50/x
  3. Step 3: Cross multiply
    978,030x = 2,100,676.50 × 2,100,676.50
  4. Step 4: Simplify right side
    978,030x = 4,412,841,757,652.25
  5. Step 5: Solve for x
    x = 4,412,841,757,652.25/978,030
  6. Step 6: Final answer
    x = 4,511,969.73

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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.