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Finding the Third Proportional to 902,220 and 1,878,840

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Solution

The third proportional to 902,220 and 1,878,840 is: 3,912,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,220 : 1,878,840 = 1,878,840 : x
  2. Step 2: Convert to fraction form
    902,220/1,878,840 = 1,878,840/x
  3. Step 3: Cross multiply
    902,220x = 1,878,840 × 1,878,840
  4. Step 4: Simplify right side
    902,220x = 3,530,039,745,600
  5. Step 5: Solve for x
    x = 3,530,039,745,600/902,220
  6. Step 6: Final answer
    x = 3,912,615.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.