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Finding the Third Proportional to 134,138 and 290,146

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Solution

The third proportional to 134,138 and 290,146 is: 627,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138 : 290,146 = 290,146 : x
  2. Step 2: Convert to fraction form
    134,138/290,146 = 290,146/x
  3. Step 3: Cross multiply
    134,138x = 290,146 × 290,146
  4. Step 4: Simplify right side
    134,138x = 84,184,701,316
  5. Step 5: Solve for x
    x = 84,184,701,316/134,138
  6. Step 6: Final answer
    x = 627,597.71

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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.