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Finding the Third Proportional to 58,638.94 and 128,349.56

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Solution

The third proportional to 58,638.94 and 128,349.56 is: 280,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,638.94 : 128,349.56 = 128,349.56 : x
  2. Step 2: Convert to fraction form
    58,638.94/128,349.56 = 128,349.56/x
  3. Step 3: Cross multiply
    58,638.94x = 128,349.56 × 128,349.56
  4. Step 4: Simplify right side
    58,638.94x = 16,473,610,193.94
  5. Step 5: Solve for x
    x = 16,473,610,193.94/58,638.94
  6. Step 6: Final answer
    x = 280,932.96

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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.