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Finding the Third Proportional to 100,146 and 155,964

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Solution

The third proportional to 100,146 and 155,964 is: 242,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146 : 155,964 = 155,964 : x
  2. Step 2: Convert to fraction form
    100,146/155,964 = 155,964/x
  3. Step 3: Cross multiply
    100,146x = 155,964 × 155,964
  4. Step 4: Simplify right side
    100,146x = 24,324,769,296
  5. Step 5: Solve for x
    x = 24,324,769,296/100,146
  6. Step 6: Final answer
    x = 242,893.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.