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Finding the Third Proportional to 128,673 and 282,271

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Solution

The third proportional to 128,673 and 282,271 is: 619,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,673 : 282,271 = 282,271 : x
  2. Step 2: Convert to fraction form
    128,673/282,271 = 282,271/x
  3. Step 3: Cross multiply
    128,673x = 282,271 × 282,271
  4. Step 4: Simplify right side
    128,673x = 79,676,917,441
  5. Step 5: Solve for x
    x = 79,676,917,441/128,673
  6. Step 6: Final answer
    x = 619,220.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.