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Finding the Third Proportional to 122,721 and 262,935

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Solution

The third proportional to 122,721 and 262,935 is: 563,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,721 : 262,935 = 262,935 : x
  2. Step 2: Convert to fraction form
    122,721/262,935 = 262,935/x
  3. Step 3: Cross multiply
    122,721x = 262,935 × 262,935
  4. Step 4: Simplify right side
    122,721x = 69,134,814,225
  5. Step 5: Solve for x
    x = 69,134,814,225/122,721
  6. Step 6: Final answer
    x = 563,349.50

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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.