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Finding the Third Proportional to 144,424.58 and 311,684.20

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Solution

The third proportional to 144,424.58 and 311,684.20 is: 672,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424.58 : 311,684.20 = 311,684.20 : x
  2. Step 2: Convert to fraction form
    144,424.58/311,684.20 = 311,684.20/x
  3. Step 3: Cross multiply
    144,424.58x = 311,684.20 × 311,684.20
  4. Step 4: Simplify right side
    144,424.58x = 97,147,042,477.67
  5. Step 5: Solve for x
    x = 97,147,042,477.67/144,424.58
  6. Step 6: Final answer
    x = 672,648.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.