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Finding the Third Proportional to 312,219 and 446,152.50

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Solution

The third proportional to 312,219 and 446,152.50 is: 637,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,219 : 446,152.50 = 446,152.50 : x
  2. Step 2: Convert to fraction form
    312,219/446,152.50 = 446,152.50/x
  3. Step 3: Cross multiply
    312,219x = 446,152.50 × 446,152.50
  4. Step 4: Simplify right side
    312,219x = 199,052,053,256.25
  5. Step 5: Solve for x
    x = 199,052,053,256.25/312,219
  6. Step 6: Final answer
    x = 637,539.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.