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Finding the Third Proportional to 55,671 and 121,566

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Solution

The third proportional to 55,671 and 121,566 is: 265,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671 : 121,566 = 121,566 : x
  2. Step 2: Convert to fraction form
    55,671/121,566 = 121,566/x
  3. Step 3: Cross multiply
    55,671x = 121,566 × 121,566
  4. Step 4: Simplify right side
    55,671x = 14,778,292,356
  5. Step 5: Solve for x
    x = 14,778,292,356/55,671
  6. Step 6: Final answer
    x = 265,457.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.