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Finding the Third Proportional to 156,985 and 340,556

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Solution

The third proportional to 156,985 and 340,556 is: 738,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985 : 340,556 = 340,556 : x
  2. Step 2: Convert to fraction form
    156,985/340,556 = 340,556/x
  3. Step 3: Cross multiply
    156,985x = 340,556 × 340,556
  4. Step 4: Simplify right side
    156,985x = 115,978,389,136
  5. Step 5: Solve for x
    x = 115,978,389,136/156,985
  6. Step 6: Final answer
    x = 738,786.44

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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.