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Finding the Third Proportional to 133,137 and 289,783.50

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Solution

The third proportional to 133,137 and 289,783.50 is: 630,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,137 : 289,783.50 = 289,783.50 : x
  2. Step 2: Convert to fraction form
    133,137/289,783.50 = 289,783.50/x
  3. Step 3: Cross multiply
    133,137x = 289,783.50 × 289,783.50
  4. Step 4: Simplify right side
    133,137x = 83,974,476,872.25
  5. Step 5: Solve for x
    x = 83,974,476,872.25/133,137
  6. Step 6: Final answer
    x = 630,737.34

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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.