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Finding the Third Proportional to 280,394.50 and 608,113

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Solution

The third proportional to 280,394.50 and 608,113 is: 1,318,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,394.50 : 608,113 = 608,113 : x
  2. Step 2: Convert to fraction form
    280,394.50/608,113 = 608,113/x
  3. Step 3: Cross multiply
    280,394.50x = 608,113 × 608,113
  4. Step 4: Simplify right side
    280,394.50x = 369,801,420,769
  5. Step 5: Solve for x
    x = 369,801,420,769/280,394.50
  6. Step 6: Final answer
    x = 1,318,861.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.