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Finding the Third Proportional to 310,990 and 655,188

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Solution

The third proportional to 310,990 and 655,188 is: 1,380,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,990 : 655,188 = 655,188 : x
  2. Step 2: Convert to fraction form
    310,990/655,188 = 655,188/x
  3. Step 3: Cross multiply
    310,990x = 655,188 × 655,188
  4. Step 4: Simplify right side
    310,990x = 429,271,315,344
  5. Step 5: Solve for x
    x = 429,271,315,344/310,990
  6. Step 6: Final answer
    x = 1,380,338.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.