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Finding the Third Proportional to 143,759 and 311,953

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Solution

The third proportional to 143,759 and 311,953 is: 676,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,759 : 311,953 = 311,953 : x
  2. Step 2: Convert to fraction form
    143,759/311,953 = 311,953/x
  3. Step 3: Cross multiply
    143,759x = 311,953 × 311,953
  4. Step 4: Simplify right side
    143,759x = 97,314,674,209
  5. Step 5: Solve for x
    x = 97,314,674,209/143,759
  6. Step 6: Final answer
    x = 676,929.27

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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.