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Finding the Third Proportional to 39,434 and 86,502

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Solution

The third proportional to 39,434 and 86,502 is: 189,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434 : 86,502 = 86,502 : x
  2. Step 2: Convert to fraction form
    39,434/86,502 = 86,502/x
  3. Step 3: Cross multiply
    39,434x = 86,502 × 86,502
  4. Step 4: Simplify right side
    39,434x = 7,482,596,004
  5. Step 5: Solve for x
    x = 7,482,596,004/39,434
  6. Step 6: Final answer
    x = 189,749.86

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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.