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Finding the Third Proportional to 108,357 and 143,777

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Solution

The third proportional to 108,357 and 143,777 is: 190,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,357 : 143,777 = 143,777 : x
  2. Step 2: Convert to fraction form
    108,357/143,777 = 143,777/x
  3. Step 3: Cross multiply
    108,357x = 143,777 × 143,777
  4. Step 4: Simplify right side
    108,357x = 20,671,825,729
  5. Step 5: Solve for x
    x = 20,671,825,729/108,357
  6. Step 6: Final answer
    x = 190,775.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.