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Finding the Third Proportional to 56,043 and 121,929

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Solution

The third proportional to 56,043 and 121,929 is: 265,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,043 : 121,929 = 121,929 : x
  2. Step 2: Convert to fraction form
    56,043/121,929 = 121,929/x
  3. Step 3: Cross multiply
    56,043x = 121,929 × 121,929
  4. Step 4: Simplify right side
    56,043x = 14,866,681,041
  5. Step 5: Solve for x
    x = 14,866,681,041/56,043
  6. Step 6: Final answer
    x = 265,272.76

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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.