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Finding the Third Proportional to 55,854 and 121,557

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Solution

The third proportional to 55,854 and 121,557 is: 264,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 121,557 = 121,557 : x
  2. Step 2: Convert to fraction form
    55,854/121,557 = 121,557/x
  3. Step 3: Cross multiply
    55,854x = 121,557 × 121,557
  4. Step 4: Simplify right side
    55,854x = 14,776,104,249
  5. Step 5: Solve for x
    x = 14,776,104,249/55,854
  6. Step 6: Final answer
    x = 264,548.72

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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.