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Finding the Third Proportional to 223,479 and 488,739

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Solution

The third proportional to 223,479 and 488,739 is: 1,068,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,479 : 488,739 = 488,739 : x
  2. Step 2: Convert to fraction form
    223,479/488,739 = 488,739/x
  3. Step 3: Cross multiply
    223,479x = 488,739 × 488,739
  4. Step 4: Simplify right side
    223,479x = 238,865,810,121
  5. Step 5: Solve for x
    x = 238,865,810,121/223,479
  6. Step 6: Final answer
    x = 1,068,851.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.