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Finding the Third Proportional to 13,429 and 18,877.50

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Solution

The third proportional to 13,429 and 18,877.50 is: 26,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429 : 18,877.50 = 18,877.50 : x
  2. Step 2: Convert to fraction form
    13,429/18,877.50 = 18,877.50/x
  3. Step 3: Cross multiply
    13,429x = 18,877.50 × 18,877.50
  4. Step 4: Simplify right side
    13,429x = 356,360,006.25
  5. Step 5: Solve for x
    x = 356,360,006.25/13,429
  6. Step 6: Final answer
    x = 26,536.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.