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Finding the Third Proportional to 58,431.75 and 127,920

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Solution

The third proportional to 58,431.75 and 127,920 is: 280,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,431.75 : 127,920 = 127,920 : x
  2. Step 2: Convert to fraction form
    58,431.75/127,920 = 127,920/x
  3. Step 3: Cross multiply
    58,431.75x = 127,920 × 127,920
  4. Step 4: Simplify right side
    58,431.75x = 16,363,526,400
  5. Step 5: Solve for x
    x = 16,363,526,400/58,431.75
  6. Step 6: Final answer
    x = 280,045.12

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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.