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Finding the Third Proportional to 222,413 and 489,097.50

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Solution

The third proportional to 222,413 and 489,097.50 is: 1,075,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,413 : 489,097.50 = 489,097.50 : x
  2. Step 2: Convert to fraction form
    222,413/489,097.50 = 489,097.50/x
  3. Step 3: Cross multiply
    222,413x = 489,097.50 × 489,097.50
  4. Step 4: Simplify right side
    222,413x = 239,216,364,506.25
  5. Step 5: Solve for x
    x = 239,216,364,506.25/222,413
  6. Step 6: Final answer
    x = 1,075,550.28

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