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Finding the Third Proportional to 89,205.75 and 130,459

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Solution

The third proportional to 89,205.75 and 130,459 is: 190,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,205.75 : 130,459 = 130,459 : x
  2. Step 2: Convert to fraction form
    89,205.75/130,459 = 130,459/x
  3. Step 3: Cross multiply
    89,205.75x = 130,459 × 130,459
  4. Step 4: Simplify right side
    89,205.75x = 17,019,550,681
  5. Step 5: Solve for x
    x = 17,019,550,681/89,205.75
  6. Step 6: Final answer
    x = 190,789.84

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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.