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Finding the Third Proportional to 133,154 and 289,816

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Solution

The third proportional to 133,154 and 289,816 is: 630,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,154 : 289,816 = 289,816 : x
  2. Step 2: Convert to fraction form
    133,154/289,816 = 289,816/x
  3. Step 3: Cross multiply
    133,154x = 289,816 × 289,816
  4. Step 4: Simplify right side
    133,154x = 83,993,313,856
  5. Step 5: Solve for x
    x = 83,993,313,856/133,154
  6. Step 6: Final answer
    x = 630,798.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.