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Finding the Third Proportional to 82,455 and 176,570

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Solution

The third proportional to 82,455 and 176,570 is: 378,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455 : 176,570 = 176,570 : x
  2. Step 2: Convert to fraction form
    82,455/176,570 = 176,570/x
  3. Step 3: Cross multiply
    82,455x = 176,570 × 176,570
  4. Step 4: Simplify right side
    82,455x = 31,176,964,900
  5. Step 5: Solve for x
    x = 31,176,964,900/82,455
  6. Step 6: Final answer
    x = 378,108.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.