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Finding the Third Proportional to 82,946 and 124,419

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Solution

The third proportional to 82,946 and 124,419 is: 186,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,946 : 124,419 = 124,419 : x
  2. Step 2: Convert to fraction form
    82,946/124,419 = 124,419/x
  3. Step 3: Cross multiply
    82,946x = 124,419 × 124,419
  4. Step 4: Simplify right side
    82,946x = 15,480,087,561
  5. Step 5: Solve for x
    x = 15,480,087,561/82,946
  6. Step 6: Final answer
    x = 186,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.