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Finding the Third Proportional to 259,533 and 557,862

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Solution

The third proportional to 259,533 and 557,862 is: 1,199,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,533 : 557,862 = 557,862 : x
  2. Step 2: Convert to fraction form
    259,533/557,862 = 557,862/x
  3. Step 3: Cross multiply
    259,533x = 557,862 × 557,862
  4. Step 4: Simplify right side
    259,533x = 311,210,011,044
  5. Step 5: Solve for x
    x = 311,210,011,044/259,533
  6. Step 6: Final answer
    x = 1,199,115.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.