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Finding the Third Proportional to 144,625.50 and 311,445

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Solution

The third proportional to 144,625.50 and 311,445 is: 670,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,625.50 : 311,445 = 311,445 : x
  2. Step 2: Convert to fraction form
    144,625.50/311,445 = 311,445/x
  3. Step 3: Cross multiply
    144,625.50x = 311,445 × 311,445
  4. Step 4: Simplify right side
    144,625.50x = 96,997,988,025
  5. Step 5: Solve for x
    x = 96,997,988,025/144,625.50
  6. Step 6: Final answer
    x = 670,683.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.