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Finding the Third Proportional to 58,540 and 128,462

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Solution

The third proportional to 58,540 and 128,462 is: 281,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540 : 128,462 = 128,462 : x
  2. Step 2: Convert to fraction form
    58,540/128,462 = 128,462/x
  3. Step 3: Cross multiply
    58,540x = 128,462 × 128,462
  4. Step 4: Simplify right side
    58,540x = 16,502,485,444
  5. Step 5: Solve for x
    x = 16,502,485,444/58,540
  6. Step 6: Final answer
    x = 281,901.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.