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Finding the Third Proportional to 39,407 and 86,470

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Solution

The third proportional to 39,407 and 86,470 is: 189,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407 : 86,470 = 86,470 : x
  2. Step 2: Convert to fraction form
    39,407/86,470 = 86,470/x
  3. Step 3: Cross multiply
    39,407x = 86,470 × 86,470
  4. Step 4: Simplify right side
    39,407x = 7,477,060,900
  5. Step 5: Solve for x
    x = 7,477,060,900/39,407
  6. Step 6: Final answer
    x = 189,739.41

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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.