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Finding the Third Proportional to 122,813.72 and 268,465.64

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Solution

The third proportional to 122,813.72 and 268,465.64 is: 586,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,813.72 : 268,465.64 = 268,465.64 : x
  2. Step 2: Convert to fraction form
    122,813.72/268,465.64 = 268,465.64/x
  3. Step 3: Cross multiply
    122,813.72x = 268,465.64 × 268,465.64
  4. Step 4: Simplify right side
    122,813.72x = 72,073,800,196.19
  5. Step 5: Solve for x
    x = 72,073,800,196.19/122,813.72
  6. Step 6: Final answer
    x = 586,854.64

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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.