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Finding the Third Proportional to 84,321 and 183,870

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Solution

The third proportional to 84,321 and 183,870 is: 400,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,321 : 183,870 = 183,870 : x
  2. Step 2: Convert to fraction form
    84,321/183,870 = 183,870/x
  3. Step 3: Cross multiply
    84,321x = 183,870 × 183,870
  4. Step 4: Simplify right side
    84,321x = 33,808,176,900
  5. Step 5: Solve for x
    x = 33,808,176,900/84,321
  6. Step 6: Final answer
    x = 400,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.