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Finding the Third Proportional to 39,413 and 86,491

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Solution

The third proportional to 39,413 and 86,491 is: 189,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413 : 86,491 = 86,491 : x
  2. Step 2: Convert to fraction form
    39,413/86,491 = 86,491/x
  3. Step 3: Cross multiply
    39,413x = 86,491 × 86,491
  4. Step 4: Simplify right side
    39,413x = 7,480,693,081
  5. Step 5: Solve for x
    x = 7,480,693,081/39,413
  6. Step 6: Final answer
    x = 189,802.68

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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.