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Finding the Third Proportional to 222,423 and 489,127

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Solution

The third proportional to 222,423 and 489,127 is: 1,075,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,423 : 489,127 = 489,127 : x
  2. Step 2: Convert to fraction form
    222,423/489,127 = 489,127/x
  3. Step 3: Cross multiply
    222,423x = 489,127 × 489,127
  4. Step 4: Simplify right side
    222,423x = 239,245,222,129
  5. Step 5: Solve for x
    x = 239,245,222,129/222,423
  6. Step 6: Final answer
    x = 1,075,631.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.