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Finding the Third Proportional to 39,699 and 85,630

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Solution

The third proportional to 39,699 and 85,630 is: 184,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,699 : 85,630 = 85,630 : x
  2. Step 2: Convert to fraction form
    39,699/85,630 = 85,630/x
  3. Step 3: Cross multiply
    39,699x = 85,630 × 85,630
  4. Step 4: Simplify right side
    39,699x = 7,332,496,900
  5. Step 5: Solve for x
    x = 7,332,496,900/39,699
  6. Step 6: Final answer
    x = 184,702.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.