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Finding the Third Proportional to 141,284 and 306,868

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Solution

The third proportional to 141,284 and 306,868 is: 666,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,284 : 306,868 = 306,868 : x
  2. Step 2: Convert to fraction form
    141,284/306,868 = 306,868/x
  3. Step 3: Cross multiply
    141,284x = 306,868 × 306,868
  4. Step 4: Simplify right side
    141,284x = 94,167,969,424
  5. Step 5: Solve for x
    x = 94,167,969,424/141,284
  6. Step 6: Final answer
    x = 666,515.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.