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Finding the Third Proportional to 297,540 and 655,440

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Solution

The third proportional to 297,540 and 655,440 is: 1,443,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,540 : 655,440 = 655,440 : x
  2. Step 2: Convert to fraction form
    297,540/655,440 = 655,440/x
  3. Step 3: Cross multiply
    297,540x = 655,440 × 655,440
  4. Step 4: Simplify right side
    297,540x = 429,601,593,600
  5. Step 5: Solve for x
    x = 429,601,593,600/297,540
  6. Step 6: Final answer
    x = 1,443,844.84

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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.