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Finding the Third Proportional to 144,733 and 311,498

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Solution

The third proportional to 144,733 and 311,498 is: 670,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,733 : 311,498 = 311,498 : x
  2. Step 2: Convert to fraction form
    144,733/311,498 = 311,498/x
  3. Step 3: Cross multiply
    144,733x = 311,498 × 311,498
  4. Step 4: Simplify right side
    144,733x = 97,031,004,004
  5. Step 5: Solve for x
    x = 97,031,004,004/144,733
  6. Step 6: Final answer
    x = 670,413.82

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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.