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Finding the Third Proportional to 121,172 and 248,386

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Solution

The third proportional to 121,172 and 248,386 is: 509,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,172 : 248,386 = 248,386 : x
  2. Step 2: Convert to fraction form
    121,172/248,386 = 248,386/x
  3. Step 3: Cross multiply
    121,172x = 248,386 × 248,386
  4. Step 4: Simplify right side
    121,172x = 61,695,604,996
  5. Step 5: Solve for x
    x = 61,695,604,996/121,172
  6. Step 6: Final answer
    x = 509,157.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.