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Finding the Third Proportional to 236,915 and 338,791

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Solution

The third proportional to 236,915 and 338,791 is: 484,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,915 : 338,791 = 338,791 : x
  2. Step 2: Convert to fraction form
    236,915/338,791 = 338,791/x
  3. Step 3: Cross multiply
    236,915x = 338,791 × 338,791
  4. Step 4: Simplify right side
    236,915x = 114,779,341,681
  5. Step 5: Solve for x
    x = 114,779,341,681/236,915
  6. Step 6: Final answer
    x = 484,474.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.