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Finding the Third Proportional to 102,665 and 153,580

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Solution

The third proportional to 102,665 and 153,580 is: 229,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665 : 153,580 = 153,580 : x
  2. Step 2: Convert to fraction form
    102,665/153,580 = 153,580/x
  3. Step 3: Cross multiply
    102,665x = 153,580 × 153,580
  4. Step 4: Simplify right side
    102,665x = 23,586,816,400
  5. Step 5: Solve for x
    x = 23,586,816,400/102,665
  6. Step 6: Final answer
    x = 229,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.