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Finding the Third Proportional to 258,711 and 565,517

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Solution

The third proportional to 258,711 and 565,517 is: 1,236,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,711 : 565,517 = 565,517 : x
  2. Step 2: Convert to fraction form
    258,711/565,517 = 565,517/x
  3. Step 3: Cross multiply
    258,711x = 565,517 × 565,517
  4. Step 4: Simplify right side
    258,711x = 319,809,477,289
  5. Step 5: Solve for x
    x = 319,809,477,289/258,711
  6. Step 6: Final answer
    x = 1,236,164.98

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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.