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Finding the Third Proportional to 122,029 and 251,590

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Solution

The third proportional to 122,029 and 251,590 is: 518,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,029 : 251,590 = 251,590 : x
  2. Step 2: Convert to fraction form
    122,029/251,590 = 251,590/x
  3. Step 3: Cross multiply
    122,029x = 251,590 × 251,590
  4. Step 4: Simplify right side
    122,029x = 63,297,528,100
  5. Step 5: Solve for x
    x = 63,297,528,100/122,029
  6. Step 6: Final answer
    x = 518,708.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.