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Finding the Third Proportional to 55,963 and 121,389

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Solution

The third proportional to 55,963 and 121,389 is: 263,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,963 : 121,389 = 121,389 : x
  2. Step 2: Convert to fraction form
    55,963/121,389 = 121,389/x
  3. Step 3: Cross multiply
    55,963x = 121,389 × 121,389
  4. Step 4: Simplify right side
    55,963x = 14,735,289,321
  5. Step 5: Solve for x
    x = 14,735,289,321/55,963
  6. Step 6: Final answer
    x = 263,304.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.