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Finding the Third Proportional to 309,657.62 and 680,209.21

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Solution

The third proportional to 309,657.62 and 680,209.21 is: 1,494,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.62 : 680,209.21 = 680,209.21 : x
  2. Step 2: Convert to fraction form
    309,657.62/680,209.21 = 680,209.21/x
  3. Step 3: Cross multiply
    309,657.62x = 680,209.21 × 680,209.21
  4. Step 4: Simplify right side
    309,657.62x = 462,684,565,330.07
  5. Step 5: Solve for x
    x = 462,684,565,330.07/309,657.62
  6. Step 6: Final answer
    x = 1,494,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.