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Finding the Third Proportional to 147,339 and 300,879

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Solution

The third proportional to 147,339 and 300,879 is: 614,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,339 : 300,879 = 300,879 : x
  2. Step 2: Convert to fraction form
    147,339/300,879 = 300,879/x
  3. Step 3: Cross multiply
    147,339x = 300,879 × 300,879
  4. Step 4: Simplify right side
    147,339x = 90,528,172,641
  5. Step 5: Solve for x
    x = 90,528,172,641/147,339
  6. Step 6: Final answer
    x = 614,420.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.