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Finding the Third Proportional to 180,890 and 385,796

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Solution

The third proportional to 180,890 and 385,796 is: 822,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,890 : 385,796 = 385,796 : x
  2. Step 2: Convert to fraction form
    180,890/385,796 = 385,796/x
  3. Step 3: Cross multiply
    180,890x = 385,796 × 385,796
  4. Step 4: Simplify right side
    180,890x = 148,838,553,616
  5. Step 5: Solve for x
    x = 148,838,553,616/180,890
  6. Step 6: Final answer
    x = 822,812.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.