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Finding the Third Proportional to 84,213 and 181,781

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Solution

The third proportional to 84,213 and 181,781 is: 392,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 181,781 = 181,781 : x
  2. Step 2: Convert to fraction form
    84,213/181,781 = 181,781/x
  3. Step 3: Cross multiply
    84,213x = 181,781 × 181,781
  4. Step 4: Simplify right side
    84,213x = 33,044,331,961
  5. Step 5: Solve for x
    x = 33,044,331,961/84,213
  6. Step 6: Final answer
    x = 392,389.92

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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.