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Finding the Third Proportional to 190,689 and 258,687

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Solution

The third proportional to 190,689 and 258,687 is: 350,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,689 : 258,687 = 258,687 : x
  2. Step 2: Convert to fraction form
    190,689/258,687 = 258,687/x
  3. Step 3: Cross multiply
    190,689x = 258,687 × 258,687
  4. Step 4: Simplify right side
    190,689x = 66,918,963,969
  5. Step 5: Solve for x
    x = 66,918,963,969/190,689
  6. Step 6: Final answer
    x = 350,932.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.