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Finding the Third Proportional to 58,415 and 127,640.50

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Solution

The third proportional to 58,415 and 127,640.50 is: 278,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,415 : 127,640.50 = 127,640.50 : x
  2. Step 2: Convert to fraction form
    58,415/127,640.50 = 127,640.50/x
  3. Step 3: Cross multiply
    58,415x = 127,640.50 × 127,640.50
  4. Step 4: Simplify right side
    58,415x = 16,292,097,240.25
  5. Step 5: Solve for x
    x = 16,292,097,240.25/58,415
  6. Step 6: Final answer
    x = 278,902.63

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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.