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Finding the Third Proportional to 39,213 and 84,905

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Solution

The third proportional to 39,213 and 84,905 is: 183,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,213 : 84,905 = 84,905 : x
  2. Step 2: Convert to fraction form
    39,213/84,905 = 84,905/x
  3. Step 3: Cross multiply
    39,213x = 84,905 × 84,905
  4. Step 4: Simplify right side
    39,213x = 7,208,859,025
  5. Step 5: Solve for x
    x = 7,208,859,025/39,213
  6. Step 6: Final answer
    x = 183,838.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.