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Finding the Third Proportional to 101,328.75 and 218,362.50

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Solution

The third proportional to 101,328.75 and 218,362.50 is: 470,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,328.75 : 218,362.50 = 218,362.50 : x
  2. Step 2: Convert to fraction form
    101,328.75/218,362.50 = 218,362.50/x
  3. Step 3: Cross multiply
    101,328.75x = 218,362.50 × 218,362.50
  4. Step 4: Simplify right side
    101,328.75x = 47,682,181,406.25
  5. Step 5: Solve for x
    x = 47,682,181,406.25/101,328.75
  6. Step 6: Final answer
    x = 470,569.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.