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Finding the Third Proportional to 131,986 and 293,420

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Solution

The third proportional to 131,986 and 293,420 is: 652,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,986 : 293,420 = 293,420 : x
  2. Step 2: Convert to fraction form
    131,986/293,420 = 293,420/x
  3. Step 3: Cross multiply
    131,986x = 293,420 × 293,420
  4. Step 4: Simplify right side
    131,986x = 86,095,296,400
  5. Step 5: Solve for x
    x = 86,095,296,400/131,986
  6. Step 6: Final answer
    x = 652,306.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.