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Finding the Third Proportional to 319,275 and 426,033

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Solution

The third proportional to 319,275 and 426,033 is: 568,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,275 : 426,033 = 426,033 : x
  2. Step 2: Convert to fraction form
    319,275/426,033 = 426,033/x
  3. Step 3: Cross multiply
    319,275x = 426,033 × 426,033
  4. Step 4: Simplify right side
    319,275x = 181,504,117,089
  5. Step 5: Solve for x
    x = 181,504,117,089/319,275
  6. Step 6: Final answer
    x = 568,488.35

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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.