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Finding the Third Proportional to 111,569 and 156,409

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Solution

The third proportional to 111,569 and 156,409 is: 219,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,569 : 156,409 = 156,409 : x
  2. Step 2: Convert to fraction form
    111,569/156,409 = 156,409/x
  3. Step 3: Cross multiply
    111,569x = 156,409 × 156,409
  4. Step 4: Simplify right side
    111,569x = 24,463,775,281
  5. Step 5: Solve for x
    x = 24,463,775,281/111,569
  6. Step 6: Final answer
    x = 219,270.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.