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Finding the Third Proportional to 133,130 and 291,268

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Solution

The third proportional to 133,130 and 291,268 is: 637,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130 : 291,268 = 291,268 : x
  2. Step 2: Convert to fraction form
    133,130/291,268 = 291,268/x
  3. Step 3: Cross multiply
    133,130x = 291,268 × 291,268
  4. Step 4: Simplify right side
    133,130x = 84,837,047,824
  5. Step 5: Solve for x
    x = 84,837,047,824/133,130
  6. Step 6: Final answer
    x = 637,249.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.