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Finding the Third Proportional to 275,038.03 and 579,942.28

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Solution

The third proportional to 275,038.03 and 579,942.28 is: 1,222,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,038.03 : 579,942.28 = 579,942.28 : x
  2. Step 2: Convert to fraction form
    275,038.03/579,942.28 = 579,942.28/x
  3. Step 3: Cross multiply
    275,038.03x = 579,942.28 × 579,942.28
  4. Step 4: Simplify right side
    275,038.03x = 336,333,049,581.45
  5. Step 5: Solve for x
    x = 336,333,049,581.45/275,038.03
  6. Step 6: Final answer
    x = 1,222,860.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.