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Finding the Third Proportional to 58,658 and 128,980

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Solution

The third proportional to 58,658 and 128,980 is: 283,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,658 : 128,980 = 128,980 : x
  2. Step 2: Convert to fraction form
    58,658/128,980 = 128,980/x
  3. Step 3: Cross multiply
    58,658x = 128,980 × 128,980
  4. Step 4: Simplify right side
    58,658x = 16,635,840,400
  5. Step 5: Solve for x
    x = 16,635,840,400/58,658
  6. Step 6: Final answer
    x = 283,607.36

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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.