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Finding the Third Proportional to 144,633 and 311,491.50

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Solution

The third proportional to 144,633 and 311,491.50 is: 670,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,633 : 311,491.50 = 311,491.50 : x
  2. Step 2: Convert to fraction form
    144,633/311,491.50 = 311,491.50/x
  3. Step 3: Cross multiply
    144,633x = 311,491.50 × 311,491.50
  4. Step 4: Simplify right side
    144,633x = 97,026,954,572.25
  5. Step 5: Solve for x
    x = 97,026,954,572.25/144,633
  6. Step 6: Final answer
    x = 670,849.35

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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.