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Finding the Third Proportional to 77,017 and 155,178

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Solution

The third proportional to 77,017 and 155,178 is: 312,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,017 : 155,178 = 155,178 : x
  2. Step 2: Convert to fraction form
    77,017/155,178 = 155,178/x
  3. Step 3: Cross multiply
    77,017x = 155,178 × 155,178
  4. Step 4: Simplify right side
    77,017x = 24,080,211,684
  5. Step 5: Solve for x
    x = 24,080,211,684/77,017
  6. Step 6: Final answer
    x = 312,660.99

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.