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Finding the Third Proportional to 39,403 and 86,461

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Solution

The third proportional to 39,403 and 86,461 is: 189,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403 : 86,461 = 86,461 : x
  2. Step 2: Convert to fraction form
    39,403/86,461 = 86,461/x
  3. Step 3: Cross multiply
    39,403x = 86,461 × 86,461
  4. Step 4: Simplify right side
    39,403x = 7,475,504,521
  5. Step 5: Solve for x
    x = 7,475,504,521/39,403
  6. Step 6: Final answer
    x = 189,719.17

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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.