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Finding the Third Proportional to 820,632 and 1,318,519.50

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Solution

The third proportional to 820,632 and 1,318,519.50 is: 2,118,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,632 : 1,318,519.50 = 1,318,519.50 : x
  2. Step 2: Convert to fraction form
    820,632/1,318,519.50 = 1,318,519.50/x
  3. Step 3: Cross multiply
    820,632x = 1,318,519.50 × 1,318,519.50
  4. Step 4: Simplify right side
    820,632x = 1,738,493,671,880.25
  5. Step 5: Solve for x
    x = 1,738,493,671,880.25/820,632
  6. Step 6: Final answer
    x = 2,118,481.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.