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Finding the Third Proportional to 451,856 and 978,100

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Solution

The third proportional to 451,856 and 978,100 is: 2,117,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,856 : 978,100 = 978,100 : x
  2. Step 2: Convert to fraction form
    451,856/978,100 = 978,100/x
  3. Step 3: Cross multiply
    451,856x = 978,100 × 978,100
  4. Step 4: Simplify right side
    451,856x = 956,679,610,000
  5. Step 5: Solve for x
    x = 956,679,610,000/451,856
  6. Step 6: Final answer
    x = 2,117,222.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.