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Finding the Third Proportional to 222,365 and 489,012.50

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Solution

The third proportional to 222,365 and 489,012.50 is: 1,075,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,365 : 489,012.50 = 489,012.50 : x
  2. Step 2: Convert to fraction form
    222,365/489,012.50 = 489,012.50/x
  3. Step 3: Cross multiply
    222,365x = 489,012.50 × 489,012.50
  4. Step 4: Simplify right side
    222,365x = 239,133,225,156.25
  5. Step 5: Solve for x
    x = 239,133,225,156.25/222,365
  6. Step 6: Final answer
    x = 1,075,408.56

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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.