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Finding the Third Proportional to 297,057 and 641,461.50

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Solution

The third proportional to 297,057 and 641,461.50 is: 1,385,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,057 : 641,461.50 = 641,461.50 : x
  2. Step 2: Convert to fraction form
    297,057/641,461.50 = 641,461.50/x
  3. Step 3: Cross multiply
    297,057x = 641,461.50 × 641,461.50
  4. Step 4: Simplify right side
    297,057x = 411,472,855,982.25
  5. Step 5: Solve for x
    x = 411,472,855,982.25/297,057
  6. Step 6: Final answer
    x = 1,385,164.65

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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.