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Finding the Third Proportional to 312,190 and 663,254

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Solution

The third proportional to 312,190 and 663,254 is: 1,409,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190 : 663,254 = 663,254 : x
  2. Step 2: Convert to fraction form
    312,190/663,254 = 663,254/x
  3. Step 3: Cross multiply
    312,190x = 663,254 × 663,254
  4. Step 4: Simplify right side
    312,190x = 439,905,868,516
  5. Step 5: Solve for x
    x = 439,905,868,516/312,190
  6. Step 6: Final answer
    x = 1,409,096.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.