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Finding the Third Proportional to 319,277 and 426,036

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Solution

The third proportional to 319,277 and 426,036 is: 568,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,277 : 426,036 = 426,036 : x
  2. Step 2: Convert to fraction form
    319,277/426,036 = 426,036/x
  3. Step 3: Cross multiply
    319,277x = 426,036 × 426,036
  4. Step 4: Simplify right side
    319,277x = 181,506,673,296
  5. Step 5: Solve for x
    x = 181,506,673,296/319,277
  6. Step 6: Final answer
    x = 568,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.