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Finding the Third Proportional to 122,090 and 253,538

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Solution

The third proportional to 122,090 and 253,538 is: 526,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,090 : 253,538 = 253,538 : x
  2. Step 2: Convert to fraction form
    122,090/253,538 = 253,538/x
  3. Step 3: Cross multiply
    122,090x = 253,538 × 253,538
  4. Step 4: Simplify right side
    122,090x = 64,281,517,444
  5. Step 5: Solve for x
    x = 64,281,517,444/122,090
  6. Step 6: Final answer
    x = 526,509.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.