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Finding the Third Proportional to 88,546 and 135,510

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Solution

The third proportional to 88,546 and 135,510 is: 207,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,546 : 135,510 = 135,510 : x
  2. Step 2: Convert to fraction form
    88,546/135,510 = 135,510/x
  3. Step 3: Cross multiply
    88,546x = 135,510 × 135,510
  4. Step 4: Simplify right side
    88,546x = 18,362,960,100
  5. Step 5: Solve for x
    x = 18,362,960,100/88,546
  6. Step 6: Final answer
    x = 207,383.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.