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Finding the Third Proportional to 280,414,725.75 and 649,109,317.50

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Solution

The third proportional to 280,414,725.75 and 649,109,317.50 is: 1,502,570,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,414,725.75 : 649,109,317.50 = 649,109,317.50 : x
  2. Step 2: Convert to fraction form
    280,414,725.75/649,109,317.50 = 649,109,317.50/x
  3. Step 3: Cross multiply
    280,414,725.75x = 649,109,317.50 × 649,109,317.50
  4. Step 4: Simplify right side
    280,414,725.75x = 421,342,906,065,315,776
  5. Step 5: Solve for x
    x = 421,342,906,065,315,776/280,414,725.75
  6. Step 6: Final answer
    x = 1,502,570,540.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.