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Finding the Third Proportional to 128,477 and 282,583

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Solution

The third proportional to 128,477 and 282,583 is: 621,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,477 : 282,583 = 282,583 : x
  2. Step 2: Convert to fraction form
    128,477/282,583 = 282,583/x
  3. Step 3: Cross multiply
    128,477x = 282,583 × 282,583
  4. Step 4: Simplify right side
    128,477x = 79,853,151,889
  5. Step 5: Solve for x
    x = 79,853,151,889/128,477
  6. Step 6: Final answer
    x = 621,536.55

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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.