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Finding the Third Proportional to 40,255 and 87,430

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Solution

The third proportional to 40,255 and 87,430 is: 189,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,255 : 87,430 = 87,430 : x
  2. Step 2: Convert to fraction form
    40,255/87,430 = 87,430/x
  3. Step 3: Cross multiply
    40,255x = 87,430 × 87,430
  4. Step 4: Simplify right side
    40,255x = 7,644,004,900
  5. Step 5: Solve for x
    x = 7,644,004,900/40,255
  6. Step 6: Final answer
    x = 189,889.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.