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Finding the Third Proportional to 78,779.25 and 119,358

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Solution

The third proportional to 78,779.25 and 119,358 is: 180,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,779.25 : 119,358 = 119,358 : x
  2. Step 2: Convert to fraction form
    78,779.25/119,358 = 119,358/x
  3. Step 3: Cross multiply
    78,779.25x = 119,358 × 119,358
  4. Step 4: Simplify right side
    78,779.25x = 14,246,332,164
  5. Step 5: Solve for x
    x = 14,246,332,164/78,779.25
  6. Step 6: Final answer
    x = 180,838.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.