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Finding the Third Proportional to 217,809 and 342,283.50

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Solution

The third proportional to 217,809 and 342,283.50 is: 537,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,809 : 342,283.50 = 342,283.50 : x
  2. Step 2: Convert to fraction form
    217,809/342,283.50 = 342,283.50/x
  3. Step 3: Cross multiply
    217,809x = 342,283.50 × 342,283.50
  4. Step 4: Simplify right side
    217,809x = 117,157,994,372.25
  5. Step 5: Solve for x
    x = 117,157,994,372.25/217,809
  6. Step 6: Final answer
    x = 537,893.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.