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Finding the Third Proportional to 259,561 and 575,486

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Solution

The third proportional to 259,561 and 575,486 is: 1,275,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,561 : 575,486 = 575,486 : x
  2. Step 2: Convert to fraction form
    259,561/575,486 = 575,486/x
  3. Step 3: Cross multiply
    259,561x = 575,486 × 575,486
  4. Step 4: Simplify right side
    259,561x = 331,184,136,196
  5. Step 5: Solve for x
    x = 331,184,136,196/259,561
  6. Step 6: Final answer
    x = 1,275,939.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.