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Finding the Third Proportional to 178,440 and 242,224

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Solution

The third proportional to 178,440 and 242,224 is: 328,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,440 : 242,224 = 242,224 : x
  2. Step 2: Convert to fraction form
    178,440/242,224 = 242,224/x
  3. Step 3: Cross multiply
    178,440x = 242,224 × 242,224
  4. Step 4: Simplify right side
    178,440x = 58,672,466,176
  5. Step 5: Solve for x
    x = 58,672,466,176/178,440
  6. Step 6: Final answer
    x = 328,807.81

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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.