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Finding the Third Proportional to 58,892 and 90,987

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Solution

The third proportional to 58,892 and 90,987 is: 140,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,892 : 90,987 = 90,987 : x
  2. Step 2: Convert to fraction form
    58,892/90,987 = 90,987/x
  3. Step 3: Cross multiply
    58,892x = 90,987 × 90,987
  4. Step 4: Simplify right side
    58,892x = 8,278,634,169
  5. Step 5: Solve for x
    x = 8,278,634,169/58,892
  6. Step 6: Final answer
    x = 140,573.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.