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Finding the Third Proportional to 216,553.50 and 314,988.75

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Solution

The third proportional to 216,553.50 and 314,988.75 is: 458,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,553.50 : 314,988.75 = 314,988.75 : x
  2. Step 2: Convert to fraction form
    216,553.50/314,988.75 = 314,988.75/x
  3. Step 3: Cross multiply
    216,553.50x = 314,988.75 × 314,988.75
  4. Step 4: Simplify right side
    216,553.50x = 99,217,912,626.56
  5. Step 5: Solve for x
    x = 99,217,912,626.56/216,553.50
  6. Step 6: Final answer
    x = 458,168.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.