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Finding the Third Proportional to 984,780 and 2,120,220

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Solution

The third proportional to 984,780 and 2,120,220 is: 4,564,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,780 : 2,120,220 = 2,120,220 : x
  2. Step 2: Convert to fraction form
    984,780/2,120,220 = 2,120,220/x
  3. Step 3: Cross multiply
    984,780x = 2,120,220 × 2,120,220
  4. Step 4: Simplify right side
    984,780x = 4,495,332,848,400
  5. Step 5: Solve for x
    x = 4,495,332,848,400/984,780
  6. Step 6: Final answer
    x = 4,564,809.25

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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.