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Finding the Third Proportional to 257,771 and 565,114

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Solution

The third proportional to 257,771 and 565,114 is: 1,238,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,771 : 565,114 = 565,114 : x
  2. Step 2: Convert to fraction form
    257,771/565,114 = 565,114/x
  3. Step 3: Cross multiply
    257,771x = 565,114 × 565,114
  4. Step 4: Simplify right side
    257,771x = 319,353,832,996
  5. Step 5: Solve for x
    x = 319,353,832,996/257,771
  6. Step 6: Final answer
    x = 1,238,905.20

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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.