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Finding the Third Proportional to 178,626 and 242,579

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Solution

The third proportional to 178,626 and 242,579 is: 329,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,626 : 242,579 = 242,579 : x
  2. Step 2: Convert to fraction form
    178,626/242,579 = 242,579/x
  3. Step 3: Cross multiply
    178,626x = 242,579 × 242,579
  4. Step 4: Simplify right side
    178,626x = 58,844,571,241
  5. Step 5: Solve for x
    x = 58,844,571,241/178,626
  6. Step 6: Final answer
    x = 329,428.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.