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Finding the Third Proportional to 290,385 and 426,054.94

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Solution

The third proportional to 290,385 and 426,054.94 is: 625,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,385 : 426,054.94 = 426,054.94 : x
  2. Step 2: Convert to fraction form
    290,385/426,054.94 = 426,054.94/x
  3. Step 3: Cross multiply
    290,385x = 426,054.94 × 426,054.94
  4. Step 4: Simplify right side
    290,385x = 181,522,809,768.13
  5. Step 5: Solve for x
    x = 181,522,809,768.13/290,385
  6. Step 6: Final answer
    x = 625,110.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.