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Finding the Third Proportional to 319,286 and 426,047

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Solution

The third proportional to 319,286 and 426,047 is: 568,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,286 : 426,047 = 426,047 : x
  2. Step 2: Convert to fraction form
    319,286/426,047 = 426,047/x
  3. Step 3: Cross multiply
    319,286x = 426,047 × 426,047
  4. Step 4: Simplify right side
    319,286x = 181,516,046,209
  5. Step 5: Solve for x
    x = 181,516,046,209/319,286
  6. Step 6: Final answer
    x = 568,506.12

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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.