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Finding the Third Proportional to 39,460 and 85,220

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Solution

The third proportional to 39,460 and 85,220 is: 184,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 85,220 = 85,220 : x
  2. Step 2: Convert to fraction form
    39,460/85,220 = 85,220/x
  3. Step 3: Cross multiply
    39,460x = 85,220 × 85,220
  4. Step 4: Simplify right side
    39,460x = 7,262,448,400
  5. Step 5: Solve for x
    x = 7,262,448,400/39,460
  6. Step 6: Final answer
    x = 184,045.83

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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.