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Finding the Third Proportional to 118,329 and 260,323.50

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Solution

The third proportional to 118,329 and 260,323.50 is: 572,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,329 : 260,323.50 = 260,323.50 : x
  2. Step 2: Convert to fraction form
    118,329/260,323.50 = 260,323.50/x
  3. Step 3: Cross multiply
    118,329x = 260,323.50 × 260,323.50
  4. Step 4: Simplify right side
    118,329x = 67,768,324,652.25
  5. Step 5: Solve for x
    x = 67,768,324,652.25/118,329
  6. Step 6: Final answer
    x = 572,711.04

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