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Finding the Third Proportional to 58,578.19 and 128,676.09

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Solution

The third proportional to 58,578.19 and 128,676.09 is: 282,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578.19 : 128,676.09 = 128,676.09 : x
  2. Step 2: Convert to fraction form
    58,578.19/128,676.09 = 128,676.09/x
  3. Step 3: Cross multiply
    58,578.19x = 128,676.09 × 128,676.09
  4. Step 4: Simplify right side
    58,578.19x = 16,557,537,102.76
  5. Step 5: Solve for x
    x = 16,557,537,102.76/58,578.19
  6. Step 6: Final answer
    x = 282,657.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.