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Finding the Third Proportional to 259,617 and 559,410

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Solution

The third proportional to 259,617 and 559,410 is: 1,205,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,617 : 559,410 = 559,410 : x
  2. Step 2: Convert to fraction form
    259,617/559,410 = 559,410/x
  3. Step 3: Cross multiply
    259,617x = 559,410 × 559,410
  4. Step 4: Simplify right side
    259,617x = 312,939,548,100
  5. Step 5: Solve for x
    x = 312,939,548,100/259,617
  6. Step 6: Final answer
    x = 1,205,389.28

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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.