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Finding the Third Proportional to 220,453 and 340,732.50

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Solution

The third proportional to 220,453 and 340,732.50 is: 526,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,453 : 340,732.50 = 340,732.50 : x
  2. Step 2: Convert to fraction form
    220,453/340,732.50 = 340,732.50/x
  3. Step 3: Cross multiply
    220,453x = 340,732.50 × 340,732.50
  4. Step 4: Simplify right side
    220,453x = 116,098,636,556.25
  5. Step 5: Solve for x
    x = 116,098,636,556.25/220,453
  6. Step 6: Final answer
    x = 526,636.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.