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Finding the Third Proportional to 4,654.50 and 10,308

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Solution

The third proportional to 4,654.50 and 10,308 is: 22,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.50 : 10,308 = 10,308 : x
  2. Step 2: Convert to fraction form
    4,654.50/10,308 = 10,308/x
  3. Step 3: Cross multiply
    4,654.50x = 10,308 × 10,308
  4. Step 4: Simplify right side
    4,654.50x = 106,254,864
  5. Step 5: Solve for x
    x = 106,254,864/4,654.50
  6. Step 6: Final answer
    x = 22,828.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.