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Finding the Third Proportional to 128,478 and 282,588

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Solution

The third proportional to 128,478 and 282,588 is: 621,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,478 : 282,588 = 282,588 : x
  2. Step 2: Convert to fraction form
    128,478/282,588 = 282,588/x
  3. Step 3: Cross multiply
    128,478x = 282,588 × 282,588
  4. Step 4: Simplify right side
    128,478x = 79,855,977,744
  5. Step 5: Solve for x
    x = 79,855,977,744/128,478
  6. Step 6: Final answer
    x = 621,553.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.