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Finding the Third Proportional to 56,410 and 122,538

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Solution

The third proportional to 56,410 and 122,538 is: 266,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410 : 122,538 = 122,538 : x
  2. Step 2: Convert to fraction form
    56,410/122,538 = 122,538/x
  3. Step 3: Cross multiply
    56,410x = 122,538 × 122,538
  4. Step 4: Simplify right side
    56,410x = 15,015,561,444
  5. Step 5: Solve for x
    x = 15,015,561,444/56,410
  6. Step 6: Final answer
    x = 266,186.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.