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Finding the Third Proportional to 143,694 and 311,688

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Solution

The third proportional to 143,694 and 311,688 is: 676,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,694 : 311,688 = 311,688 : x
  2. Step 2: Convert to fraction form
    143,694/311,688 = 311,688/x
  3. Step 3: Cross multiply
    143,694x = 311,688 × 311,688
  4. Step 4: Simplify right side
    143,694x = 97,149,409,344
  5. Step 5: Solve for x
    x = 97,149,409,344/143,694
  6. Step 6: Final answer
    x = 676,085.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.