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Finding the Third Proportional to 642,810.09 and 1,338,822.84

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Solution

The third proportional to 642,810.09 and 1,338,822.84 is: 2,788,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,810.09 : 1,338,822.84 = 1,338,822.84 : x
  2. Step 2: Convert to fraction form
    642,810.09/1,338,822.84 = 1,338,822.84/x
  3. Step 3: Cross multiply
    642,810.09x = 1,338,822.84 × 1,338,822.84
  4. Step 4: Simplify right side
    642,810.09x = 1,792,446,606,946.84
  5. Step 5: Solve for x
    x = 1,792,446,606,946.84/642,810.09
  6. Step 6: Final answer
    x = 2,788,454.36

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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.