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Finding the Third Proportional to 278,385.19 and 609,975.56

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Solution

The third proportional to 278,385.19 and 609,975.56 is: 1,336,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,385.19 : 609,975.56 = 609,975.56 : x
  2. Step 2: Convert to fraction form
    278,385.19/609,975.56 = 609,975.56/x
  3. Step 3: Cross multiply
    278,385.19x = 609,975.56 × 609,975.56
  4. Step 4: Simplify right side
    278,385.19x = 372,070,186,847.19
  5. Step 5: Solve for x
    x = 372,070,186,847.19/278,385.19
  6. Step 6: Final answer
    x = 1,336,530.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.