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Finding the Third Proportional to 140,409 and 190,536

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Solution

The third proportional to 140,409 and 190,536 is: 258,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,409 : 190,536 = 190,536 : x
  2. Step 2: Convert to fraction form
    140,409/190,536 = 190,536/x
  3. Step 3: Cross multiply
    140,409x = 190,536 × 190,536
  4. Step 4: Simplify right side
    140,409x = 36,303,967,296
  5. Step 5: Solve for x
    x = 36,303,967,296/140,409
  6. Step 6: Final answer
    x = 258,558.69

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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.