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Finding the Third Proportional to 177,912 and 386,928

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Solution

The third proportional to 177,912 and 386,928 is: 841,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,912 : 386,928 = 386,928 : x
  2. Step 2: Convert to fraction form
    177,912/386,928 = 386,928/x
  3. Step 3: Cross multiply
    177,912x = 386,928 × 386,928
  4. Step 4: Simplify right side
    177,912x = 149,713,277,184
  5. Step 5: Solve for x
    x = 149,713,277,184/177,912
  6. Step 6: Final answer
    x = 841,501.85

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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.