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Finding the Third Proportional to 58,920 and 130,128

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Solution

The third proportional to 58,920 and 130,128 is: 287,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,920 : 130,128 = 130,128 : x
  2. Step 2: Convert to fraction form
    58,920/130,128 = 130,128/x
  3. Step 3: Cross multiply
    58,920x = 130,128 × 130,128
  4. Step 4: Simplify right side
    58,920x = 16,933,296,384
  5. Step 5: Solve for x
    x = 16,933,296,384/58,920
  6. Step 6: Final answer
    x = 287,394.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.