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Finding the Third Proportional to 58,393 and 128,090

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Solution

The third proportional to 58,393 and 128,090 is: 280,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,393 : 128,090 = 128,090 : x
  2. Step 2: Convert to fraction form
    58,393/128,090 = 128,090/x
  3. Step 3: Cross multiply
    58,393x = 128,090 × 128,090
  4. Step 4: Simplify right side
    58,393x = 16,407,048,100
  5. Step 5: Solve for x
    x = 16,407,048,100/58,393
  6. Step 6: Final answer
    x = 280,976.28

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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.