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Finding the Third Proportional to 12,502.50 and 18,887.63

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Solution

The third proportional to 12,502.50 and 18,887.63 is: 28,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.50 : 18,887.63 = 18,887.63 : x
  2. Step 2: Convert to fraction form
    12,502.50/18,887.63 = 18,887.63/x
  3. Step 3: Cross multiply
    12,502.50x = 18,887.63 × 18,887.63
  4. Step 4: Simplify right side
    12,502.50x = 356,742,378.14
  5. Step 5: Solve for x
    x = 356,742,378.14/12,502.50
  6. Step 6: Final answer
    x = 28,533.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.