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Finding the Third Proportional to 201,910.85 and 312,602.41

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Solution

The third proportional to 201,910.85 and 312,602.41 is: 483,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910.85 : 312,602.41 = 312,602.41 : x
  2. Step 2: Convert to fraction form
    201,910.85/312,602.41 = 312,602.41/x
  3. Step 3: Cross multiply
    201,910.85x = 312,602.41 × 312,602.41
  4. Step 4: Simplify right side
    201,910.85x = 97,720,269,277.70
  5. Step 5: Solve for x
    x = 97,720,269,277.70/201,910.85
  6. Step 6: Final answer
    x = 483,977.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.