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Finding the Third Proportional to 12,989.25 and 28,407.75

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Solution

The third proportional to 12,989.25 and 28,407.75 is: 62,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.25 : 28,407.75 = 28,407.75 : x
  2. Step 2: Convert to fraction form
    12,989.25/28,407.75 = 28,407.75/x
  3. Step 3: Cross multiply
    12,989.25x = 28,407.75 × 28,407.75
  4. Step 4: Simplify right side
    12,989.25x = 807,000,260.06
  5. Step 5: Solve for x
    x = 807,000,260.06/12,989.25
  6. Step 6: Final answer
    x = 62,128.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.