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Finding the Third Proportional to 156,909 and 240,075

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Solution

The third proportional to 156,909 and 240,075 is: 367,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909 : 240,075 = 240,075 : x
  2. Step 2: Convert to fraction form
    156,909/240,075 = 240,075/x
  3. Step 3: Cross multiply
    156,909x = 240,075 × 240,075
  4. Step 4: Simplify right side
    156,909x = 57,636,005,625
  5. Step 5: Solve for x
    x = 57,636,005,625/156,909
  6. Step 6: Final answer
    x = 367,321.22

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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.