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Finding the Third Proportional to 58,305 and 90,034

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Solution

The third proportional to 58,305 and 90,034 is: 139,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,305 : 90,034 = 90,034 : x
  2. Step 2: Convert to fraction form
    58,305/90,034 = 90,034/x
  3. Step 3: Cross multiply
    58,305x = 90,034 × 90,034
  4. Step 4: Simplify right side
    58,305x = 8,106,121,156
  5. Step 5: Solve for x
    x = 8,106,121,156/58,305
  6. Step 6: Final answer
    x = 139,029.61

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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.