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Finding the Third Proportional to 258,971.50 and 565,975.50

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Solution

The third proportional to 258,971.50 and 565,975.50 is: 1,236,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,971.50 : 565,975.50 = 565,975.50 : x
  2. Step 2: Convert to fraction form
    258,971.50/565,975.50 = 565,975.50/x
  3. Step 3: Cross multiply
    258,971.50x = 565,975.50 × 565,975.50
  4. Step 4: Simplify right side
    258,971.50x = 320,328,266,600.25
  5. Step 5: Solve for x
    x = 320,328,266,600.25/258,971.50
  6. Step 6: Final answer
    x = 1,236,924.78

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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.