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Finding the Third Proportional to 133,073 and 191,303

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Solution

The third proportional to 133,073 and 191,303 is: 275,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073 : 191,303 = 191,303 : x
  2. Step 2: Convert to fraction form
    133,073/191,303 = 191,303/x
  3. Step 3: Cross multiply
    133,073x = 191,303 × 191,303
  4. Step 4: Simplify right side
    133,073x = 36,596,837,809
  5. Step 5: Solve for x
    x = 36,596,837,809/133,073
  6. Step 6: Final answer
    x = 275,013.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.