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Finding the Third Proportional to 258,957 and 535,896

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Solution

The third proportional to 258,957 and 535,896 is: 1,109,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,957 : 535,896 = 535,896 : x
  2. Step 2: Convert to fraction form
    258,957/535,896 = 535,896/x
  3. Step 3: Cross multiply
    258,957x = 535,896 × 535,896
  4. Step 4: Simplify right side
    258,957x = 287,184,522,816
  5. Step 5: Solve for x
    x = 287,184,522,816/258,957
  6. Step 6: Final answer
    x = 1,109,004.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.