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Finding the Third Proportional to 310,188 and 683,230

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Solution

The third proportional to 310,188 and 683,230 is: 1,504,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,188 : 683,230 = 683,230 : x
  2. Step 2: Convert to fraction form
    310,188/683,230 = 683,230/x
  3. Step 3: Cross multiply
    310,188x = 683,230 × 683,230
  4. Step 4: Simplify right side
    310,188x = 466,803,232,900
  5. Step 5: Solve for x
    x = 466,803,232,900/310,188
  6. Step 6: Final answer
    x = 1,504,904.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.