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Finding the Third Proportional to 216,664.88 and 312,086.25

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Solution

The third proportional to 216,664.88 and 312,086.25 is: 449,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,664.88 : 312,086.25 = 312,086.25 : x
  2. Step 2: Convert to fraction form
    216,664.88/312,086.25 = 312,086.25/x
  3. Step 3: Cross multiply
    216,664.88x = 312,086.25 × 312,086.25
  4. Step 4: Simplify right side
    216,664.88x = 97,397,827,439.06
  5. Step 5: Solve for x
    x = 97,397,827,439.06/216,664.88
  6. Step 6: Final answer
    x = 449,532.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.