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Finding the Third Proportional to 145,257.75 and 212,107.50

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Solution

The third proportional to 145,257.75 and 212,107.50 is: 309,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257.75 : 212,107.50 = 212,107.50 : x
  2. Step 2: Convert to fraction form
    145,257.75/212,107.50 = 212,107.50/x
  3. Step 3: Cross multiply
    145,257.75x = 212,107.50 × 212,107.50
  4. Step 4: Simplify right side
    145,257.75x = 44,989,591,556.25
  5. Step 5: Solve for x
    x = 44,989,591,556.25/145,257.75
  6. Step 6: Final answer
    x = 309,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.