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Finding the Third Proportional to 210,319 and 305,879

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Solution

The third proportional to 210,319 and 305,879 is: 444,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319 : 305,879 = 305,879 : x
  2. Step 2: Convert to fraction form
    210,319/305,879 = 305,879/x
  3. Step 3: Cross multiply
    210,319x = 305,879 × 305,879
  4. Step 4: Simplify right side
    210,319x = 93,561,962,641
  5. Step 5: Solve for x
    x = 93,561,962,641/210,319
  6. Step 6: Final answer
    x = 444,857.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.