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Finding the Third Proportional to 70,178 and 155,908

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Solution

The third proportional to 70,178 and 155,908 is: 346,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178 : 155,908 = 155,908 : x
  2. Step 2: Convert to fraction form
    70,178/155,908 = 155,908/x
  3. Step 3: Cross multiply
    70,178x = 155,908 × 155,908
  4. Step 4: Simplify right side
    70,178x = 24,307,304,464
  5. Step 5: Solve for x
    x = 24,307,304,464/70,178
  6. Step 6: Final answer
    x = 346,366.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.