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Finding the Third Proportional to 258,811 and 565,599

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Solution

The third proportional to 258,811 and 565,599 is: 1,236,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,811 : 565,599 = 565,599 : x
  2. Step 2: Convert to fraction form
    258,811/565,599 = 565,599/x
  3. Step 3: Cross multiply
    258,811x = 565,599 × 565,599
  4. Step 4: Simplify right side
    258,811x = 319,902,228,801
  5. Step 5: Solve for x
    x = 319,902,228,801/258,811
  6. Step 6: Final answer
    x = 1,236,045.72

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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.