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Finding the Third Proportional to 12,602.25 and 30,560.63

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Solution

The third proportional to 12,602.25 and 30,560.63 is: 74,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.25 : 30,560.63 = 30,560.63 : x
  2. Step 2: Convert to fraction form
    12,602.25/30,560.63 = 30,560.63/x
  3. Step 3: Cross multiply
    12,602.25x = 30,560.63 × 30,560.63
  4. Step 4: Simplify right side
    12,602.25x = 933,951,800.39
  5. Step 5: Solve for x
    x = 933,951,800.39/12,602.25
  6. Step 6: Final answer
    x = 74,109.92

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.