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Finding the Third Proportional to 141,569 and 305,278

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Solution

The third proportional to 141,569 and 305,278 is: 658,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,569 : 305,278 = 305,278 : x
  2. Step 2: Convert to fraction form
    141,569/305,278 = 305,278/x
  3. Step 3: Cross multiply
    141,569x = 305,278 × 305,278
  4. Step 4: Simplify right side
    141,569x = 93,194,657,284
  5. Step 5: Solve for x
    x = 93,194,657,284/141,569
  6. Step 6: Final answer
    x = 658,298.48

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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.