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Finding the Third Proportional to 143,768 and 311,972

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Solution

The third proportional to 143,768 and 311,972 is: 676,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,768 : 311,972 = 311,972 : x
  2. Step 2: Convert to fraction form
    143,768/311,972 = 311,972/x
  3. Step 3: Cross multiply
    143,768x = 311,972 × 311,972
  4. Step 4: Simplify right side
    143,768x = 97,326,528,784
  5. Step 5: Solve for x
    x = 97,326,528,784/143,768
  6. Step 6: Final answer
    x = 676,969.34

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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.