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Finding the Third Proportional to 120,294 and 255,289.50

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Solution

The third proportional to 120,294 and 255,289.50 is: 541,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,294 : 255,289.50 = 255,289.50 : x
  2. Step 2: Convert to fraction form
    120,294/255,289.50 = 255,289.50/x
  3. Step 3: Cross multiply
    120,294x = 255,289.50 × 255,289.50
  4. Step 4: Simplify right side
    120,294x = 65,172,728,810.25
  5. Step 5: Solve for x
    x = 65,172,728,810.25/120,294
  6. Step 6: Final answer
    x = 541,778.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.