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Finding the Third Proportional to 133,958 and 291,220

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Solution

The third proportional to 133,958 and 291,220 is: 633,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,958 : 291,220 = 291,220 : x
  2. Step 2: Convert to fraction form
    133,958/291,220 = 291,220/x
  3. Step 3: Cross multiply
    133,958x = 291,220 × 291,220
  4. Step 4: Simplify right side
    133,958x = 84,809,088,400
  5. Step 5: Solve for x
    x = 84,809,088,400/133,958
  6. Step 6: Final answer
    x = 633,102.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.