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Finding the Third Proportional to 58,989 and 129,642

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Solution

The third proportional to 58,989 and 129,642 is: 284,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,989 : 129,642 = 129,642 : x
  2. Step 2: Convert to fraction form
    58,989/129,642 = 129,642/x
  3. Step 3: Cross multiply
    58,989x = 129,642 × 129,642
  4. Step 4: Simplify right side
    58,989x = 16,807,048,164
  5. Step 5: Solve for x
    x = 16,807,048,164/58,989
  6. Step 6: Final answer
    x = 284,918.34

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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.