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Finding the Third Proportional to 144,732 and 311,613

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Solution

The third proportional to 144,732 and 311,613 is: 670,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,732 : 311,613 = 311,613 : x
  2. Step 2: Convert to fraction form
    144,732/311,613 = 311,613/x
  3. Step 3: Cross multiply
    144,732x = 311,613 × 311,613
  4. Step 4: Simplify right side
    144,732x = 97,102,661,769
  5. Step 5: Solve for x
    x = 97,102,661,769/144,732
  6. Step 6: Final answer
    x = 670,913.56

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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.