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Finding the Third Proportional to 222,913 and 342,145.50

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Solution

The third proportional to 222,913 and 342,145.50 is: 525,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,913 : 342,145.50 = 342,145.50 : x
  2. Step 2: Convert to fraction form
    222,913/342,145.50 = 342,145.50/x
  3. Step 3: Cross multiply
    222,913x = 342,145.50 × 342,145.50
  4. Step 4: Simplify right side
    222,913x = 117,063,543,170.25
  5. Step 5: Solve for x
    x = 117,063,543,170.25/222,913
  6. Step 6: Final answer
    x = 525,153.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.