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Finding the Third Proportional to 220,816 and 312,152

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Solution

The third proportional to 220,816 and 312,152 is: 441,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,816 : 312,152 = 312,152 : x
  2. Step 2: Convert to fraction form
    220,816/312,152 = 312,152/x
  3. Step 3: Cross multiply
    220,816x = 312,152 × 312,152
  4. Step 4: Simplify right side
    220,816x = 97,438,871,104
  5. Step 5: Solve for x
    x = 97,438,871,104/220,816
  6. Step 6: Final answer
    x = 441,267.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.