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Finding the Third Proportional to 144,598.50 and 311,401.13

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Solution

The third proportional to 144,598.50 and 311,401.13 is: 670,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,598.50 : 311,401.13 = 311,401.13 : x
  2. Step 2: Convert to fraction form
    144,598.50/311,401.13 = 311,401.13/x
  3. Step 3: Cross multiply
    144,598.50x = 311,401.13 × 311,401.13
  4. Step 4: Simplify right side
    144,598.50x = 96,970,660,651.27
  5. Step 5: Solve for x
    x = 96,970,660,651.27/144,598.50
  6. Step 6: Final answer
    x = 670,620.10

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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.