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Finding the Third Proportional to 58,462 and 128,838

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Solution

The third proportional to 58,462 and 128,838 is: 283,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462 : 128,838 = 128,838 : x
  2. Step 2: Convert to fraction form
    58,462/128,838 = 128,838/x
  3. Step 3: Cross multiply
    58,462x = 128,838 × 128,838
  4. Step 4: Simplify right side
    58,462x = 16,599,230,244
  5. Step 5: Solve for x
    x = 16,599,230,244/58,462
  6. Step 6: Final answer
    x = 283,931.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.