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Finding the Third Proportional to 133,690 and 289,196

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Solution

The third proportional to 133,690 and 289,196 is: 625,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690 : 289,196 = 289,196 : x
  2. Step 2: Convert to fraction form
    133,690/289,196 = 289,196/x
  3. Step 3: Cross multiply
    133,690x = 289,196 × 289,196
  4. Step 4: Simplify right side
    133,690x = 83,634,326,416
  5. Step 5: Solve for x
    x = 83,634,326,416/133,690
  6. Step 6: Final answer
    x = 625,584.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.