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Finding the Third Proportional to 108,428 and 234,956

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Solution

The third proportional to 108,428 and 234,956 is: 509,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,428 : 234,956 = 234,956 : x
  2. Step 2: Convert to fraction form
    108,428/234,956 = 234,956/x
  3. Step 3: Cross multiply
    108,428x = 234,956 × 234,956
  4. Step 4: Simplify right side
    108,428x = 55,204,321,936
  5. Step 5: Solve for x
    x = 55,204,321,936/108,428
  6. Step 6: Final answer
    x = 509,133.45

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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.