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Finding the Third Proportional to 98,104 and 132,492

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Solution

The third proportional to 98,104 and 132,492 is: 178,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104 : 132,492 = 132,492 : x
  2. Step 2: Convert to fraction form
    98,104/132,492 = 132,492/x
  3. Step 3: Cross multiply
    98,104x = 132,492 × 132,492
  4. Step 4: Simplify right side
    98,104x = 17,554,130,064
  5. Step 5: Solve for x
    x = 17,554,130,064/98,104
  6. Step 6: Final answer
    x = 178,933.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.