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Finding the Third Proportional to 297,312 and 641,280

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Solution

The third proportional to 297,312 and 641,280 is: 1,383,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,312 : 641,280 = 641,280 : x
  2. Step 2: Convert to fraction form
    297,312/641,280 = 641,280/x
  3. Step 3: Cross multiply
    297,312x = 641,280 × 641,280
  4. Step 4: Simplify right side
    297,312x = 411,240,038,400
  5. Step 5: Solve for x
    x = 411,240,038,400/297,312
  6. Step 6: Final answer
    x = 1,383,193.54

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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.