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Finding the Third Proportional to 310,828.50 and 368,237.50

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Solution

The third proportional to 310,828.50 and 368,237.50 is: 436,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,828.50 : 368,237.50 = 368,237.50 : x
  2. Step 2: Convert to fraction form
    310,828.50/368,237.50 = 368,237.50/x
  3. Step 3: Cross multiply
    310,828.50x = 368,237.50 × 368,237.50
  4. Step 4: Simplify right side
    310,828.50x = 135,598,856,406.25
  5. Step 5: Solve for x
    x = 135,598,856,406.25/310,828.50
  6. Step 6: Final answer
    x = 436,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.