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Finding the Third Proportional to 58,378 and 128,054

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Solution

The third proportional to 58,378 and 128,054 is: 280,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378 : 128,054 = 128,054 : x
  2. Step 2: Convert to fraction form
    58,378/128,054 = 128,054/x
  3. Step 3: Cross multiply
    58,378x = 128,054 × 128,054
  4. Step 4: Simplify right side
    58,378x = 16,397,826,916
  5. Step 5: Solve for x
    x = 16,397,826,916/58,378
  6. Step 6: Final answer
    x = 280,890.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.