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Finding the Third Proportional to 978,503.25 and 1,984,518.75

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Solution

The third proportional to 978,503.25 and 1,984,518.75 is: 4,024,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,503.25 : 1,984,518.75 = 1,984,518.75 : x
  2. Step 2: Convert to fraction form
    978,503.25/1,984,518.75 = 1,984,518.75/x
  3. Step 3: Cross multiply
    978,503.25x = 1,984,518.75 × 1,984,518.75
  4. Step 4: Simplify right side
    978,503.25x = 3,938,314,669,101.56
  5. Step 5: Solve for x
    x = 3,938,314,669,101.56/978,503.25
  6. Step 6: Final answer
    x = 4,024,835.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.