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Finding the Third Proportional to 122,680 and 264,700

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Solution

The third proportional to 122,680 and 264,700 is: 571,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,680 : 264,700 = 264,700 : x
  2. Step 2: Convert to fraction form
    122,680/264,700 = 264,700/x
  3. Step 3: Cross multiply
    122,680x = 264,700 × 264,700
  4. Step 4: Simplify right side
    122,680x = 70,066,090,000
  5. Step 5: Solve for x
    x = 70,066,090,000/122,680
  6. Step 6: Final answer
    x = 571,128.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.