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Finding the Third Proportional to 129,360.50 and 282,769

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Solution

The third proportional to 129,360.50 and 282,769 is: 618,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,360.50 : 282,769 = 282,769 : x
  2. Step 2: Convert to fraction form
    129,360.50/282,769 = 282,769/x
  3. Step 3: Cross multiply
    129,360.50x = 282,769 × 282,769
  4. Step 4: Simplify right side
    129,360.50x = 79,958,307,361
  5. Step 5: Solve for x
    x = 79,958,307,361/129,360.50
  6. Step 6: Final answer
    x = 618,104.50

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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.