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Finding the Third Proportional to 121,213 and 263,789

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Solution

The third proportional to 121,213 and 263,789 is: 574,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,213 : 263,789 = 263,789 : x
  2. Step 2: Convert to fraction form
    121,213/263,789 = 263,789/x
  3. Step 3: Cross multiply
    121,213x = 263,789 × 263,789
  4. Step 4: Simplify right side
    121,213x = 69,584,636,521
  5. Step 5: Solve for x
    x = 69,584,636,521/121,213
  6. Step 6: Final answer
    x = 574,069.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.