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Finding the Third Proportional to 70,342 and 108,772

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Solution

The third proportional to 70,342 and 108,772 is: 168,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342 : 108,772 = 108,772 : x
  2. Step 2: Convert to fraction form
    70,342/108,772 = 108,772/x
  3. Step 3: Cross multiply
    70,342x = 108,772 × 108,772
  4. Step 4: Simplify right side
    70,342x = 11,831,347,984
  5. Step 5: Solve for x
    x = 11,831,347,984/70,342
  6. Step 6: Final answer
    x = 168,197.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.