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Finding the Third Proportional to 143,732 and 311,464

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Solution

The third proportional to 143,732 and 311,464 is: 674,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,732 : 311,464 = 311,464 : x
  2. Step 2: Convert to fraction form
    143,732/311,464 = 311,464/x
  3. Step 3: Cross multiply
    143,732x = 311,464 × 311,464
  4. Step 4: Simplify right side
    143,732x = 97,009,823,296
  5. Step 5: Solve for x
    x = 97,009,823,296/143,732
  6. Step 6: Final answer
    x = 674,935.46

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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.