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Finding the Third Proportional to 144,626 and 311,478

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Solution

The third proportional to 144,626 and 311,478 is: 670,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,626 : 311,478 = 311,478 : x
  2. Step 2: Convert to fraction form
    144,626/311,478 = 311,478/x
  3. Step 3: Cross multiply
    144,626x = 311,478 × 311,478
  4. Step 4: Simplify right side
    144,626x = 97,018,544,484
  5. Step 5: Solve for x
    x = 97,018,544,484/144,626
  6. Step 6: Final answer
    x = 670,823.67

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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.