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Finding the Third Proportional to 108,220 and 235,880

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Solution

The third proportional to 108,220 and 235,880 is: 514,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,220 : 235,880 = 235,880 : x
  2. Step 2: Convert to fraction form
    108,220/235,880 = 235,880/x
  3. Step 3: Cross multiply
    108,220x = 235,880 × 235,880
  4. Step 4: Simplify right side
    108,220x = 55,639,374,400
  5. Step 5: Solve for x
    x = 55,639,374,400/108,220
  6. Step 6: Final answer
    x = 514,132.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.