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Finding the Third Proportional to 259,046 and 557,457

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Solution

The third proportional to 259,046 and 557,457 is: 1,199,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,046 : 557,457 = 557,457 : x
  2. Step 2: Convert to fraction form
    259,046/557,457 = 557,457/x
  3. Step 3: Cross multiply
    259,046x = 557,457 × 557,457
  4. Step 4: Simplify right side
    259,046x = 310,758,306,849
  5. Step 5: Solve for x
    x = 310,758,306,849/259,046
  6. Step 6: Final answer
    x = 1,199,625.96

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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.