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Finding the Third Proportional to 88,911 and 129,852

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Solution

The third proportional to 88,911 and 129,852 is: 189,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,911 : 129,852 = 129,852 : x
  2. Step 2: Convert to fraction form
    88,911/129,852 = 129,852/x
  3. Step 3: Cross multiply
    88,911x = 129,852 × 129,852
  4. Step 4: Simplify right side
    88,911x = 16,861,541,904
  5. Step 5: Solve for x
    x = 16,861,541,904/88,911
  6. Step 6: Final answer
    x = 189,645.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.