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Finding the Third Proportional to 134,279 and 290,248

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Solution

The third proportional to 134,279 and 290,248 is: 627,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,279 : 290,248 = 290,248 : x
  2. Step 2: Convert to fraction form
    134,279/290,248 = 290,248/x
  3. Step 3: Cross multiply
    134,279x = 290,248 × 290,248
  4. Step 4: Simplify right side
    134,279x = 84,243,901,504
  5. Step 5: Solve for x
    x = 84,243,901,504/134,279
  6. Step 6: Final answer
    x = 627,379.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.