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Finding the Third Proportional to 78,511.78 and 112,139.44

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Solution

The third proportional to 78,511.78 and 112,139.44 is: 160,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,511.78 : 112,139.44 = 112,139.44 : x
  2. Step 2: Convert to fraction form
    78,511.78/112,139.44 = 112,139.44/x
  3. Step 3: Cross multiply
    78,511.78x = 112,139.44 × 112,139.44
  4. Step 4: Simplify right side
    78,511.78x = 12,575,253,442.82
  5. Step 5: Solve for x
    x = 12,575,253,442.82/78,511.78
  6. Step 6: Final answer
    x = 160,170.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.