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Finding the Third Proportional to 297,090 and 641,523

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Solution

The third proportional to 297,090 and 641,523 is: 1,385,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,090 : 641,523 = 641,523 : x
  2. Step 2: Convert to fraction form
    297,090/641,523 = 641,523/x
  3. Step 3: Cross multiply
    297,090x = 641,523 × 641,523
  4. Step 4: Simplify right side
    297,090x = 411,551,759,529
  5. Step 5: Solve for x
    x = 411,551,759,529/297,090
  6. Step 6: Final answer
    x = 1,385,276.38

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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.