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Finding the Third Proportional to 133,458 and 290,148

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Solution

The third proportional to 133,458 and 290,148 is: 630,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,458 : 290,148 = 290,148 : x
  2. Step 2: Convert to fraction form
    133,458/290,148 = 290,148/x
  3. Step 3: Cross multiply
    133,458x = 290,148 × 290,148
  4. Step 4: Simplify right side
    133,458x = 84,185,861,904
  5. Step 5: Solve for x
    x = 84,185,861,904/133,458
  6. Step 6: Final answer
    x = 630,804.16

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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.