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Finding the Third Proportional to 129,367 and 282,779.50

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Solution

The third proportional to 129,367 and 282,779.50 is: 618,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,367 : 282,779.50 = 282,779.50 : x
  2. Step 2: Convert to fraction form
    129,367/282,779.50 = 282,779.50/x
  3. Step 3: Cross multiply
    129,367x = 282,779.50 × 282,779.50
  4. Step 4: Simplify right side
    129,367x = 79,964,245,620.25
  5. Step 5: Solve for x
    x = 79,964,245,620.25/129,367
  6. Step 6: Final answer
    x = 618,119.35

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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.