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Finding the Third Proportional to 178,436 and 242,220

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Solution

The third proportional to 178,436 and 242,220 is: 328,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,436 : 242,220 = 242,220 : x
  2. Step 2: Convert to fraction form
    178,436/242,220 = 242,220/x
  3. Step 3: Cross multiply
    178,436x = 242,220 × 242,220
  4. Step 4: Simplify right side
    178,436x = 58,670,528,400
  5. Step 5: Solve for x
    x = 58,670,528,400/178,436
  6. Step 6: Final answer
    x = 328,804.32

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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.