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Finding the Third Proportional to 122,018 and 285,062

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Solution

The third proportional to 122,018 and 285,062 is: 665,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,018 : 285,062 = 285,062 : x
  2. Step 2: Convert to fraction form
    122,018/285,062 = 285,062/x
  3. Step 3: Cross multiply
    122,018x = 285,062 × 285,062
  4. Step 4: Simplify right side
    122,018x = 81,260,343,844
  5. Step 5: Solve for x
    x = 81,260,343,844/122,018
  6. Step 6: Final answer
    x = 665,970.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.