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Finding the Third Proportional to 4,654.49 and 9,975.34

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Solution

The third proportional to 4,654.49 and 9,975.34 is: 21,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.49 : 9,975.34 = 9,975.34 : x
  2. Step 2: Convert to fraction form
    4,654.49/9,975.34 = 9,975.34/x
  3. Step 3: Cross multiply
    4,654.49x = 9,975.34 × 9,975.34
  4. Step 4: Simplify right side
    4,654.49x = 99,507,405.00
  5. Step 5: Solve for x
    x = 99,507,405.00/4,654.49
  6. Step 6: Final answer
    x = 21,378.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.