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Finding the Third Proportional to 58,378 and 128,420

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Solution

The third proportional to 58,378 and 128,420 is: 282,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378 : 128,420 = 128,420 : x
  2. Step 2: Convert to fraction form
    58,378/128,420 = 128,420/x
  3. Step 3: Cross multiply
    58,378x = 128,420 × 128,420
  4. Step 4: Simplify right side
    58,378x = 16,491,696,400
  5. Step 5: Solve for x
    x = 16,491,696,400/58,378
  6. Step 6: Final answer
    x = 282,498.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.