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Finding the Third Proportional to 53,545 and 75,215

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Solution

The third proportional to 53,545 and 75,215 is: 105,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,545 : 75,215 = 75,215 : x
  2. Step 2: Convert to fraction form
    53,545/75,215 = 75,215/x
  3. Step 3: Cross multiply
    53,545x = 75,215 × 75,215
  4. Step 4: Simplify right side
    53,545x = 5,657,296,225
  5. Step 5: Solve for x
    x = 5,657,296,225/53,545
  6. Step 6: Final answer
    x = 105,654.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.