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Finding the Third Proportional to 156,954 and 240,137

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Solution

The third proportional to 156,954 and 240,137 is: 367,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 240,137 = 240,137 : x
  2. Step 2: Convert to fraction form
    156,954/240,137 = 240,137/x
  3. Step 3: Cross multiply
    156,954x = 240,137 × 240,137
  4. Step 4: Simplify right side
    156,954x = 57,665,778,769
  5. Step 5: Solve for x
    x = 57,665,778,769/156,954
  6. Step 6: Final answer
    x = 367,405.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.