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Finding the Third Proportional to 121,012 and 263,018

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Solution

The third proportional to 121,012 and 263,018 is: 571,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,012 : 263,018 = 263,018 : x
  2. Step 2: Convert to fraction form
    121,012/263,018 = 263,018/x
  3. Step 3: Cross multiply
    121,012x = 263,018 × 263,018
  4. Step 4: Simplify right side
    121,012x = 69,178,468,324
  5. Step 5: Solve for x
    x = 69,178,468,324/121,012
  6. Step 6: Final answer
    x = 571,666.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.