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Finding the Third Proportional to 280,301 and 612,766

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Solution

The third proportional to 280,301 and 612,766 is: 1,339,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,301 : 612,766 = 612,766 : x
  2. Step 2: Convert to fraction form
    280,301/612,766 = 612,766/x
  3. Step 3: Cross multiply
    280,301x = 612,766 × 612,766
  4. Step 4: Simplify right side
    280,301x = 375,482,170,756
  5. Step 5: Solve for x
    x = 375,482,170,756/280,301
  6. Step 6: Final answer
    x = 1,339,567.72

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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.