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Finding the Third Proportional to 645,741 and 1,407,739.50

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Solution

The third proportional to 645,741 and 1,407,739.50 is: 3,068,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,741 : 1,407,739.50 = 1,407,739.50 : x
  2. Step 2: Convert to fraction form
    645,741/1,407,739.50 = 1,407,739.50/x
  3. Step 3: Cross multiply
    645,741x = 1,407,739.50 × 1,407,739.50
  4. Step 4: Simplify right side
    645,741x = 1,981,730,499,860.25
  5. Step 5: Solve for x
    x = 1,981,730,499,860.25/645,741
  6. Step 6: Final answer
    x = 3,068,924.69

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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.