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Finding the Third Proportional to 216,888.75 and 324,056.25

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Solution

The third proportional to 216,888.75 and 324,056.25 is: 484,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,888.75 : 324,056.25 = 324,056.25 : x
  2. Step 2: Convert to fraction form
    216,888.75/324,056.25 = 324,056.25/x
  3. Step 3: Cross multiply
    216,888.75x = 324,056.25 × 324,056.25
  4. Step 4: Simplify right side
    216,888.75x = 105,012,453,164.06
  5. Step 5: Solve for x
    x = 105,012,453,164.06/216,888.75
  6. Step 6: Final answer
    x = 484,176.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.