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Finding the Third Proportional to 978,720.75 and 2,074,945.50

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Solution

The third proportional to 978,720.75 and 2,074,945.50 is: 4,399,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,720.75 : 2,074,945.50 = 2,074,945.50 : x
  2. Step 2: Convert to fraction form
    978,720.75/2,074,945.50 = 2,074,945.50/x
  3. Step 3: Cross multiply
    978,720.75x = 2,074,945.50 × 2,074,945.50
  4. Step 4: Simplify right side
    978,720.75x = 4,305,398,827,970.25
  5. Step 5: Solve for x
    x = 4,305,398,827,970.25/978,720.75
  6. Step 6: Final answer
    x = 4,399,006.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.