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Finding the Third Proportional to 116,661 and 255,921

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Solution

The third proportional to 116,661 and 255,921 is: 561,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,661 : 255,921 = 255,921 : x
  2. Step 2: Convert to fraction form
    116,661/255,921 = 255,921/x
  3. Step 3: Cross multiply
    116,661x = 255,921 × 255,921
  4. Step 4: Simplify right side
    116,661x = 65,495,558,241
  5. Step 5: Solve for x
    x = 65,495,558,241/116,661
  6. Step 6: Final answer
    x = 561,417.77

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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.