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Finding the Third Proportional to 58,645 and 128,954

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Solution

The third proportional to 58,645 and 128,954 is: 283,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645 : 128,954 = 128,954 : x
  2. Step 2: Convert to fraction form
    58,645/128,954 = 128,954/x
  3. Step 3: Cross multiply
    58,645x = 128,954 × 128,954
  4. Step 4: Simplify right side
    58,645x = 16,629,134,116
  5. Step 5: Solve for x
    x = 16,629,134,116/58,645
  6. Step 6: Final answer
    x = 283,555.87

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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.