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Finding the Third Proportional to 122,109.75 and 260,348.50

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Solution

The third proportional to 122,109.75 and 260,348.50 is: 555,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.75 : 260,348.50 = 260,348.50 : x
  2. Step 2: Convert to fraction form
    122,109.75/260,348.50 = 260,348.50/x
  3. Step 3: Cross multiply
    122,109.75x = 260,348.50 × 260,348.50
  4. Step 4: Simplify right side
    122,109.75x = 67,781,341,452.25
  5. Step 5: Solve for x
    x = 67,781,341,452.25/122,109.75
  6. Step 6: Final answer
    x = 555,085.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.