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Finding the Third Proportional to 297,105 and 641,553

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Solution

The third proportional to 297,105 and 641,553 is: 1,385,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,105 : 641,553 = 641,553 : x
  2. Step 2: Convert to fraction form
    297,105/641,553 = 641,553/x
  3. Step 3: Cross multiply
    297,105x = 641,553 × 641,553
  4. Step 4: Simplify right side
    297,105x = 411,590,251,809
  5. Step 5: Solve for x
    x = 411,590,251,809/297,105
  6. Step 6: Final answer
    x = 1,385,336.00

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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.