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Finding the Third Proportional to 12,139.56 and 26,316.14

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Solution

The third proportional to 12,139.56 and 26,316.14 is: 57,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.56 : 26,316.14 = 26,316.14 : x
  2. Step 2: Convert to fraction form
    12,139.56/26,316.14 = 26,316.14/x
  3. Step 3: Cross multiply
    12,139.56x = 26,316.14 × 26,316.14
  4. Step 4: Simplify right side
    12,139.56x = 692,539,257.39
  5. Step 5: Solve for x
    x = 692,539,257.39/12,139.56
  6. Step 6: Final answer
    x = 57,048.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.