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Finding the Third Proportional to 398,251.69 and 630,924.19

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Solution

The third proportional to 398,251.69 and 630,924.19 is: 999,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,251.69 : 630,924.19 = 630,924.19 : x
  2. Step 2: Convert to fraction form
    398,251.69/630,924.19 = 630,924.19/x
  3. Step 3: Cross multiply
    398,251.69x = 630,924.19 × 630,924.19
  4. Step 4: Simplify right side
    398,251.69x = 398,065,330,372.54
  5. Step 5: Solve for x
    x = 398,065,330,372.54/398,251.69
  6. Step 6: Final answer
    x = 999,532.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.