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Finding the Third Proportional to 133,137 and 289,784

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Solution

The third proportional to 133,137 and 289,784 is: 630,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,137 : 289,784 = 289,784 : x
  2. Step 2: Convert to fraction form
    133,137/289,784 = 289,784/x
  3. Step 3: Cross multiply
    133,137x = 289,784 × 289,784
  4. Step 4: Simplify right side
    133,137x = 83,974,766,656
  5. Step 5: Solve for x
    x = 83,974,766,656/133,137
  6. Step 6: Final answer
    x = 630,739.51

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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.