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Finding the Third Proportional to 90,909 and 130,135

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Solution

The third proportional to 90,909 and 130,135 is: 186,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909 : 130,135 = 130,135 : x
  2. Step 2: Convert to fraction form
    90,909/130,135 = 130,135/x
  3. Step 3: Cross multiply
    90,909x = 130,135 × 130,135
  4. Step 4: Simplify right side
    90,909x = 16,935,118,225
  5. Step 5: Solve for x
    x = 16,935,118,225/90,909
  6. Step 6: Final answer
    x = 186,286.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.