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Finding the Third Proportional to 278,290.69 and 609,838.88

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Solution

The third proportional to 278,290.69 and 609,838.88 is: 1,336,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,290.69 : 609,838.88 = 609,838.88 : x
  2. Step 2: Convert to fraction form
    278,290.69/609,838.88 = 609,838.88/x
  3. Step 3: Cross multiply
    278,290.69x = 609,838.88 × 609,838.88
  4. Step 4: Simplify right side
    278,290.69x = 371,903,453,461.27
  5. Step 5: Solve for x
    x = 371,903,453,461.27/278,290.69
  6. Step 6: Final answer
    x = 1,336,384.83

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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.