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Finding the Third Proportional to 101,278.69 and 218,257.31

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Solution

The third proportional to 101,278.69 and 218,257.31 is: 470,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,278.69 : 218,257.31 = 218,257.31 : x
  2. Step 2: Convert to fraction form
    101,278.69/218,257.31 = 218,257.31/x
  3. Step 3: Cross multiply
    101,278.69x = 218,257.31 × 218,257.31
  4. Step 4: Simplify right side
    101,278.69x = 47,636,254,459.72
  5. Step 5: Solve for x
    x = 47,636,254,459.72/101,278.69
  6. Step 6: Final answer
    x = 470,348.26

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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.