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Finding the Third Proportional to 121,506.75 and 260,578.69

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Solution

The third proportional to 121,506.75 and 260,578.69 is: 558,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.75 : 260,578.69 = 260,578.69 : x
  2. Step 2: Convert to fraction form
    121,506.75/260,578.69 = 260,578.69/x
  3. Step 3: Cross multiply
    121,506.75x = 260,578.69 × 260,578.69
  4. Step 4: Simplify right side
    121,506.75x = 67,901,252,379.22
  5. Step 5: Solve for x
    x = 67,901,252,379.22/121,506.75
  6. Step 6: Final answer
    x = 558,827.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.