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Finding the Third Proportional to 521,505 and 1,082,980.13

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Solution

The third proportional to 521,505 and 1,082,980.13 is: 2,248,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,505 : 1,082,980.13 = 1,082,980.13 : x
  2. Step 2: Convert to fraction form
    521,505/1,082,980.13 = 1,082,980.13/x
  3. Step 3: Cross multiply
    521,505x = 1,082,980.13 × 1,082,980.13
  4. Step 4: Simplify right side
    521,505x = 1,172,845,951,145.02
  5. Step 5: Solve for x
    x = 1,172,845,951,145.02/521,505
  6. Step 6: Final answer
    x = 2,248,963.96

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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.