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Finding the Third Proportional to 57,320 and 121,072

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Solution

The third proportional to 57,320 and 121,072 is: 255,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,320 : 121,072 = 121,072 : x
  2. Step 2: Convert to fraction form
    57,320/121,072 = 121,072/x
  3. Step 3: Cross multiply
    57,320x = 121,072 × 121,072
  4. Step 4: Simplify right side
    57,320x = 14,658,429,184
  5. Step 5: Solve for x
    x = 14,658,429,184/57,320
  6. Step 6: Final answer
    x = 255,729.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.