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Finding the Third Proportional to 58,558 and 128,498

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Solution

The third proportional to 58,558 and 128,498 is: 281,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,558 : 128,498 = 128,498 : x
  2. Step 2: Convert to fraction form
    58,558/128,498 = 128,498/x
  3. Step 3: Cross multiply
    58,558x = 128,498 × 128,498
  4. Step 4: Simplify right side
    58,558x = 16,511,736,004
  5. Step 5: Solve for x
    x = 16,511,736,004/58,558
  6. Step 6: Final answer
    x = 281,972.34

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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.