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Finding the Third Proportional to 12,429 and 26,707.50

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Solution

The third proportional to 12,429 and 26,707.50 is: 57,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 26,707.50 = 26,707.50 : x
  2. Step 2: Convert to fraction form
    12,429/26,707.50 = 26,707.50/x
  3. Step 3: Cross multiply
    12,429x = 26,707.50 × 26,707.50
  4. Step 4: Simplify right side
    12,429x = 713,290,556.25
  5. Step 5: Solve for x
    x = 713,290,556.25/12,429
  6. Step 6: Final answer
    x = 57,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.