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Finding the Third Proportional to 297,020 and 640,408

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Solution

The third proportional to 297,020 and 640,408 is: 1,380,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,020 : 640,408 = 640,408 : x
  2. Step 2: Convert to fraction form
    297,020/640,408 = 640,408/x
  3. Step 3: Cross multiply
    297,020x = 640,408 × 640,408
  4. Step 4: Simplify right side
    297,020x = 410,122,406,464
  5. Step 5: Solve for x
    x = 410,122,406,464/297,020
  6. Step 6: Final answer
    x = 1,380,790.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.