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Finding the Third Proportional to 128,779.88 and 282,163.50

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Solution

The third proportional to 128,779.88 and 282,163.50 is: 618,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,779.88 : 282,163.50 = 282,163.50 : x
  2. Step 2: Convert to fraction form
    128,779.88/282,163.50 = 282,163.50/x
  3. Step 3: Cross multiply
    128,779.88x = 282,163.50 × 282,163.50
  4. Step 4: Simplify right side
    128,779.88x = 79,616,240,732.25
  5. Step 5: Solve for x
    x = 79,616,240,732.25/128,779.88
  6. Step 6: Final answer
    x = 618,235.11

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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.