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Finding the Third Proportional to 89,629 and 130,237

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Solution

The third proportional to 89,629 and 130,237 is: 189,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,629 : 130,237 = 130,237 : x
  2. Step 2: Convert to fraction form
    89,629/130,237 = 130,237/x
  3. Step 3: Cross multiply
    89,629x = 130,237 × 130,237
  4. Step 4: Simplify right side
    89,629x = 16,961,676,169
  5. Step 5: Solve for x
    x = 16,961,676,169/89,629
  6. Step 6: Final answer
    x = 189,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.