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Finding the Third Proportional to 144,735 and 311,619

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Solution

The third proportional to 144,735 and 311,619 is: 670,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,735 : 311,619 = 311,619 : x
  2. Step 2: Convert to fraction form
    144,735/311,619 = 311,619/x
  3. Step 3: Cross multiply
    144,735x = 311,619 × 311,619
  4. Step 4: Simplify right side
    144,735x = 97,106,401,161
  5. Step 5: Solve for x
    x = 97,106,401,161/144,735
  6. Step 6: Final answer
    x = 670,925.49

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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.