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Finding the Third Proportional to 18,461 and 28,638.75

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Solution

The third proportional to 18,461 and 28,638.75 is: 44,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461 : 28,638.75 = 28,638.75 : x
  2. Step 2: Convert to fraction form
    18,461/28,638.75 = 28,638.75/x
  3. Step 3: Cross multiply
    18,461x = 28,638.75 × 28,638.75
  4. Step 4: Simplify right side
    18,461x = 820,178,001.56
  5. Step 5: Solve for x
    x = 820,178,001.56/18,461
  6. Step 6: Final answer
    x = 44,427.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.