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Finding the Third Proportional to 259,316 and 379,038

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Solution

The third proportional to 259,316 and 379,038 is: 554,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,316 : 379,038 = 379,038 : x
  2. Step 2: Convert to fraction form
    259,316/379,038 = 379,038/x
  3. Step 3: Cross multiply
    259,316x = 379,038 × 379,038
  4. Step 4: Simplify right side
    259,316x = 143,669,805,444
  5. Step 5: Solve for x
    x = 143,669,805,444/259,316
  6. Step 6: Final answer
    x = 554,033.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.