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Finding the Third Proportional to 218,459 and 295,152

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Solution

The third proportional to 218,459 and 295,152 is: 398,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,459 : 295,152 = 295,152 : x
  2. Step 2: Convert to fraction form
    218,459/295,152 = 295,152/x
  3. Step 3: Cross multiply
    218,459x = 295,152 × 295,152
  4. Step 4: Simplify right side
    218,459x = 87,114,703,104
  5. Step 5: Solve for x
    x = 87,114,703,104/218,459
  6. Step 6: Final answer
    x = 398,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.