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Finding the Third Proportional to 58,072 and 87,909

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Solution

The third proportional to 58,072 and 87,909 is: 133,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,072 : 87,909 = 87,909 : x
  2. Step 2: Convert to fraction form
    58,072/87,909 = 87,909/x
  3. Step 3: Cross multiply
    58,072x = 87,909 × 87,909
  4. Step 4: Simplify right side
    58,072x = 7,727,992,281
  5. Step 5: Solve for x
    x = 7,727,992,281/58,072
  6. Step 6: Final answer
    x = 133,076.05

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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.