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Finding the Third Proportional to 398,138.63 and 859,628.81

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Solution

The third proportional to 398,138.63 and 859,628.81 is: 1,856,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,138.63 : 859,628.81 = 859,628.81 : x
  2. Step 2: Convert to fraction form
    398,138.63/859,628.81 = 859,628.81/x
  3. Step 3: Cross multiply
    398,138.63x = 859,628.81 × 859,628.81
  4. Step 4: Simplify right side
    398,138.63x = 738,961,695,280.16
  5. Step 5: Solve for x
    x = 738,961,695,280.16/398,138.63
  6. Step 6: Final answer
    x = 1,856,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.