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Finding the Third Proportional to 56,509 and 122,858

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Solution

The third proportional to 56,509 and 122,858 is: 267,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509 : 122,858 = 122,858 : x
  2. Step 2: Convert to fraction form
    56,509/122,858 = 122,858/x
  3. Step 3: Cross multiply
    56,509x = 122,858 × 122,858
  4. Step 4: Simplify right side
    56,509x = 15,094,088,164
  5. Step 5: Solve for x
    x = 15,094,088,164/56,509
  6. Step 6: Final answer
    x = 267,109.45

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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.