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Finding the Third Proportional to 58,405 and 87,999

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Solution

The third proportional to 58,405 and 87,999 is: 132,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,405 : 87,999 = 87,999 : x
  2. Step 2: Convert to fraction form
    58,405/87,999 = 87,999/x
  3. Step 3: Cross multiply
    58,405x = 87,999 × 87,999
  4. Step 4: Simplify right side
    58,405x = 7,743,824,001
  5. Step 5: Solve for x
    x = 7,743,824,001/58,405
  6. Step 6: Final answer
    x = 132,588.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.