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Finding the Third Proportional to 82,415 and 177,970

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Solution

The third proportional to 82,415 and 177,970 is: 384,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415 : 177,970 = 177,970 : x
  2. Step 2: Convert to fraction form
    82,415/177,970 = 177,970/x
  3. Step 3: Cross multiply
    82,415x = 177,970 × 177,970
  4. Step 4: Simplify right side
    82,415x = 31,673,320,900
  5. Step 5: Solve for x
    x = 31,673,320,900/82,415
  6. Step 6: Final answer
    x = 384,315.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.