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Finding the Third Proportional to 133,029 and 291,929

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Solution

The third proportional to 133,029 and 291,929 is: 640,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029 : 291,929 = 291,929 : x
  2. Step 2: Convert to fraction form
    133,029/291,929 = 291,929/x
  3. Step 3: Cross multiply
    133,029x = 291,929 × 291,929
  4. Step 4: Simplify right side
    133,029x = 85,222,541,041
  5. Step 5: Solve for x
    x = 85,222,541,041/133,029
  6. Step 6: Final answer
    x = 640,631.30

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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.