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Finding the Third Proportional to 128,582 and 282,073

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Solution

The third proportional to 128,582 and 282,073 is: 618,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,582 : 282,073 = 282,073 : x
  2. Step 2: Convert to fraction form
    128,582/282,073 = 282,073/x
  3. Step 3: Cross multiply
    128,582x = 282,073 × 282,073
  4. Step 4: Simplify right side
    128,582x = 79,565,177,329
  5. Step 5: Solve for x
    x = 79,565,177,329/128,582
  6. Step 6: Final answer
    x = 618,789.39

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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.