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Finding the Third Proportional to 258,899 and 535,771

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Solution

The third proportional to 258,899 and 535,771 is: 1,108,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899 : 535,771 = 535,771 : x
  2. Step 2: Convert to fraction form
    258,899/535,771 = 535,771/x
  3. Step 3: Cross multiply
    258,899x = 535,771 × 535,771
  4. Step 4: Simplify right side
    258,899x = 287,050,564,441
  5. Step 5: Solve for x
    x = 287,050,564,441/258,899
  6. Step 6: Final answer
    x = 1,108,735.70

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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.