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Finding the Third Proportional to 178,570 and 242,521

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Solution

The third proportional to 178,570 and 242,521 is: 329,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,570 : 242,521 = 242,521 : x
  2. Step 2: Convert to fraction form
    178,570/242,521 = 242,521/x
  3. Step 3: Cross multiply
    178,570x = 242,521 × 242,521
  4. Step 4: Simplify right side
    178,570x = 58,816,435,441
  5. Step 5: Solve for x
    x = 58,816,435,441/178,570
  6. Step 6: Final answer
    x = 329,374.67

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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.