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Finding the Third Proportional to 72,285 and 153,318

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Solution

The third proportional to 72,285 and 153,318 is: 325,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285 : 153,318 = 153,318 : x
  2. Step 2: Convert to fraction form
    72,285/153,318 = 153,318/x
  3. Step 3: Cross multiply
    72,285x = 153,318 × 153,318
  4. Step 4: Simplify right side
    72,285x = 23,506,409,124
  5. Step 5: Solve for x
    x = 23,506,409,124/72,285
  6. Step 6: Final answer
    x = 325,190.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.