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Finding the Third Proportional to 77,840 and 164,935

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Solution

The third proportional to 77,840 and 164,935 is: 349,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840 : 164,935 = 164,935 : x
  2. Step 2: Convert to fraction form
    77,840/164,935 = 164,935/x
  3. Step 3: Cross multiply
    77,840x = 164,935 × 164,935
  4. Step 4: Simplify right side
    77,840x = 27,203,554,225
  5. Step 5: Solve for x
    x = 27,203,554,225/77,840
  6. Step 6: Final answer
    x = 349,480.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.