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Finding the Third Proportional to 623,409.75 and 1,342,170

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Solution

The third proportional to 623,409.75 and 1,342,170 is: 2,889,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,409.75 : 1,342,170 = 1,342,170 : x
  2. Step 2: Convert to fraction form
    623,409.75/1,342,170 = 1,342,170/x
  3. Step 3: Cross multiply
    623,409.75x = 1,342,170 × 1,342,170
  4. Step 4: Simplify right side
    623,409.75x = 1,801,420,308,900
  5. Step 5: Solve for x
    x = 1,801,420,308,900/623,409.75
  6. Step 6: Final answer
    x = 2,889,624.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.