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Finding the Third Proportional to 77,178 and 163,830

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Solution

The third proportional to 77,178 and 163,830 is: 347,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,178 : 163,830 = 163,830 : x
  2. Step 2: Convert to fraction form
    77,178/163,830 = 163,830/x
  3. Step 3: Cross multiply
    77,178x = 163,830 × 163,830
  4. Step 4: Simplify right side
    77,178x = 26,840,268,900
  5. Step 5: Solve for x
    x = 26,840,268,900/77,178
  6. Step 6: Final answer
    x = 347,770.98

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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.