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Finding the Third Proportional to 398,647 and 615,596.50

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Solution

The third proportional to 398,647 and 615,596.50 is: 950,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647 : 615,596.50 = 615,596.50 : x
  2. Step 2: Convert to fraction form
    398,647/615,596.50 = 615,596.50/x
  3. Step 3: Cross multiply
    398,647x = 615,596.50 × 615,596.50
  4. Step 4: Simplify right side
    398,647x = 378,959,050,812.25
  5. Step 5: Solve for x
    x = 378,959,050,812.25/398,647
  6. Step 6: Final answer
    x = 950,613.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.