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Finding the Third Proportional to 235,380 and 355,279.50

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Solution

The third proportional to 235,380 and 355,279.50 is: 536,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,380 : 355,279.50 = 355,279.50 : x
  2. Step 2: Convert to fraction form
    235,380/355,279.50 = 355,279.50/x
  3. Step 3: Cross multiply
    235,380x = 355,279.50 × 355,279.50
  4. Step 4: Simplify right side
    235,380x = 126,223,523,120.25
  5. Step 5: Solve for x
    x = 126,223,523,120.25/235,380
  6. Step 6: Final answer
    x = 536,254.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.