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Finding the Third Proportional to 297,079.50 and 641,503.88

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Solution

The third proportional to 297,079.50 and 641,503.88 is: 1,385,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.50 : 641,503.88 = 641,503.88 : x
  2. Step 2: Convert to fraction form
    297,079.50/641,503.88 = 641,503.88/x
  3. Step 3: Cross multiply
    297,079.50x = 641,503.88 × 641,503.88
  4. Step 4: Simplify right side
    297,079.50x = 411,527,221,640.02
  5. Step 5: Solve for x
    x = 411,527,221,640.02/297,079.50
  6. Step 6: Final answer
    x = 1,385,242.74

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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.