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Finding the Third Proportional to 260,821 and 571,457

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Solution

The third proportional to 260,821 and 571,457 is: 1,252,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,821 : 571,457 = 571,457 : x
  2. Step 2: Convert to fraction form
    260,821/571,457 = 571,457/x
  3. Step 3: Cross multiply
    260,821x = 571,457 × 571,457
  4. Step 4: Simplify right side
    260,821x = 326,563,102,849
  5. Step 5: Solve for x
    x = 326,563,102,849/260,821
  6. Step 6: Final answer
    x = 1,252,058.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.