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Finding the Third Proportional to 58,821 and 128,010

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Solution

The third proportional to 58,821 and 128,010 is: 278,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,821 : 128,010 = 128,010 : x
  2. Step 2: Convert to fraction form
    58,821/128,010 = 128,010/x
  3. Step 3: Cross multiply
    58,821x = 128,010 × 128,010
  4. Step 4: Simplify right side
    58,821x = 16,386,560,100
  5. Step 5: Solve for x
    x = 16,386,560,100/58,821
  6. Step 6: Final answer
    x = 278,583.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.