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Finding the Third Proportional to 180,896 and 392,928

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Solution

The third proportional to 180,896 and 392,928 is: 853,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,896 : 392,928 = 392,928 : x
  2. Step 2: Convert to fraction form
    180,896/392,928 = 392,928/x
  3. Step 3: Cross multiply
    180,896x = 392,928 × 392,928
  4. Step 4: Simplify right side
    180,896x = 154,392,413,184
  5. Step 5: Solve for x
    x = 154,392,413,184/180,896
  6. Step 6: Final answer
    x = 853,487.16

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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.