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Finding the Third Proportional to 100,408.50 and 217,347.75

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Solution

The third proportional to 100,408.50 and 217,347.75 is: 470,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.50 : 217,347.75 = 217,347.75 : x
  2. Step 2: Convert to fraction form
    100,408.50/217,347.75 = 217,347.75/x
  3. Step 3: Cross multiply
    100,408.50x = 217,347.75 × 217,347.75
  4. Step 4: Simplify right side
    100,408.50x = 47,240,044,430.06
  5. Step 5: Solve for x
    x = 47,240,044,430.06/100,408.50
  6. Step 6: Final answer
    x = 470,478.54

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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.