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Finding the Third Proportional to 125,370 and 261,128.25

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Solution

The third proportional to 125,370 and 261,128.25 is: 543,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,370 : 261,128.25 = 261,128.25 : x
  2. Step 2: Convert to fraction form
    125,370/261,128.25 = 261,128.25/x
  3. Step 3: Cross multiply
    125,370x = 261,128.25 × 261,128.25
  4. Step 4: Simplify right side
    125,370x = 68,187,962,948.06
  5. Step 5: Solve for x
    x = 68,187,962,948.06/125,370
  6. Step 6: Final answer
    x = 543,893.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.