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Finding the Third Proportional to 645,707.25 and 1,407,674.25

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Solution

The third proportional to 645,707.25 and 1,407,674.25 is: 3,068,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,707.25 : 1,407,674.25 = 1,407,674.25 : x
  2. Step 2: Convert to fraction form
    645,707.25/1,407,674.25 = 1,407,674.25/x
  3. Step 3: Cross multiply
    645,707.25x = 1,407,674.25 × 1,407,674.25
  4. Step 4: Simplify right side
    645,707.25x = 1,981,546,794,113.06
  5. Step 5: Solve for x
    x = 1,981,546,794,113.06/645,707.25
  6. Step 6: Final answer
    x = 3,068,800.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.