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Finding the Third Proportional to 122,688 and 263,088

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Solution

The third proportional to 122,688 and 263,088 is: 564,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 263,088 = 263,088 : x
  2. Step 2: Convert to fraction form
    122,688/263,088 = 263,088/x
  3. Step 3: Cross multiply
    122,688x = 263,088 × 263,088
  4. Step 4: Simplify right side
    122,688x = 69,215,295,744
  5. Step 5: Solve for x
    x = 69,215,295,744/122,688
  6. Step 6: Final answer
    x = 564,157.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.