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Finding the Third Proportional to 642,806 and 1,338,815

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Solution

The third proportional to 642,806 and 1,338,815 is: 2,788,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,806 : 1,338,815 = 1,338,815 : x
  2. Step 2: Convert to fraction form
    642,806/1,338,815 = 1,338,815/x
  3. Step 3: Cross multiply
    642,806x = 1,338,815 × 1,338,815
  4. Step 4: Simplify right side
    642,806x = 1,792,425,604,225
  5. Step 5: Solve for x
    x = 1,792,425,604,225/642,806
  6. Step 6: Final answer
    x = 2,788,439.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.