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Finding the Third Proportional to 440,835 and 620,794.50

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Solution

The third proportional to 440,835 and 620,794.50 is: 874,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,835 : 620,794.50 = 620,794.50 : x
  2. Step 2: Convert to fraction form
    440,835/620,794.50 = 620,794.50/x
  3. Step 3: Cross multiply
    440,835x = 620,794.50 × 620,794.50
  4. Step 4: Simplify right side
    440,835x = 385,385,811,230.25
  5. Step 5: Solve for x
    x = 385,385,811,230.25/440,835
  6. Step 6: Final answer
    x = 874,217.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.