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Finding the Third Proportional to 53,140 and 107,900

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Solution

The third proportional to 53,140 and 107,900 is: 219,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,140 : 107,900 = 107,900 : x
  2. Step 2: Convert to fraction form
    53,140/107,900 = 107,900/x
  3. Step 3: Cross multiply
    53,140x = 107,900 × 107,900
  4. Step 4: Simplify right side
    53,140x = 11,642,410,000
  5. Step 5: Solve for x
    x = 11,642,410,000/53,140
  6. Step 6: Final answer
    x = 219,089.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.