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Finding the Third Proportional to 133,776 and 178,428

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Solution

The third proportional to 133,776 and 178,428 is: 237,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 178,428 = 178,428 : x
  2. Step 2: Convert to fraction form
    133,776/178,428 = 178,428/x
  3. Step 3: Cross multiply
    133,776x = 178,428 × 178,428
  4. Step 4: Simplify right side
    133,776x = 31,836,551,184
  5. Step 5: Solve for x
    x = 31,836,551,184/133,776
  6. Step 6: Final answer
    x = 237,984.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.