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Finding the Third Proportional to 258,969 and 565,011

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Solution

The third proportional to 258,969 and 565,011 is: 1,232,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,969 : 565,011 = 565,011 : x
  2. Step 2: Convert to fraction form
    258,969/565,011 = 565,011/x
  3. Step 3: Cross multiply
    258,969x = 565,011 × 565,011
  4. Step 4: Simplify right side
    258,969x = 319,237,430,121
  5. Step 5: Solve for x
    x = 319,237,430,121/258,969
  6. Step 6: Final answer
    x = 1,232,724.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.