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Finding the Third Proportional to 259,821 and 578,664

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Solution

The third proportional to 259,821 and 578,664 is: 1,288,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,821 : 578,664 = 578,664 : x
  2. Step 2: Convert to fraction form
    259,821/578,664 = 578,664/x
  3. Step 3: Cross multiply
    259,821x = 578,664 × 578,664
  4. Step 4: Simplify right side
    259,821x = 334,852,024,896
  5. Step 5: Solve for x
    x = 334,852,024,896/259,821
  6. Step 6: Final answer
    x = 1,288,779.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.