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Finding the Third Proportional to 144,680 and 311,554

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Solution

The third proportional to 144,680 and 311,554 is: 670,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,680 : 311,554 = 311,554 : x
  2. Step 2: Convert to fraction form
    144,680/311,554 = 311,554/x
  3. Step 3: Cross multiply
    144,680x = 311,554 × 311,554
  4. Step 4: Simplify right side
    144,680x = 97,065,894,916
  5. Step 5: Solve for x
    x = 97,065,894,916/144,680
  6. Step 6: Final answer
    x = 670,900.57

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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.