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Finding the Third Proportional to 162,280.50 and 353,132.50

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Solution

The third proportional to 162,280.50 and 353,132.50 is: 768,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,280.50 : 353,132.50 = 353,132.50 : x
  2. Step 2: Convert to fraction form
    162,280.50/353,132.50 = 353,132.50/x
  3. Step 3: Cross multiply
    162,280.50x = 353,132.50 × 353,132.50
  4. Step 4: Simplify right side
    162,280.50x = 124,702,562,556.25
  5. Step 5: Solve for x
    x = 124,702,562,556.25/162,280.50
  6. Step 6: Final answer
    x = 768,438.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.