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Finding the Third Proportional to 242,170 and 377,974

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Solution

The third proportional to 242,170 and 377,974 is: 589,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,170 : 377,974 = 377,974 : x
  2. Step 2: Convert to fraction form
    242,170/377,974 = 377,974/x
  3. Step 3: Cross multiply
    242,170x = 377,974 × 377,974
  4. Step 4: Simplify right side
    242,170x = 142,864,344,676
  5. Step 5: Solve for x
    x = 142,864,344,676/242,170
  6. Step 6: Final answer
    x = 589,934.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.