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Finding the Third Proportional to 398,255.50 and 630,926.75

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Solution

The third proportional to 398,255.50 and 630,926.75 is: 999,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,255.50 : 630,926.75 = 630,926.75 : x
  2. Step 2: Convert to fraction form
    398,255.50/630,926.75 = 630,926.75/x
  3. Step 3: Cross multiply
    398,255.50x = 630,926.75 × 630,926.75
  4. Step 4: Simplify right side
    398,255.50x = 398,068,563,865.56
  5. Step 5: Solve for x
    x = 398,068,563,865.56/398,255.50
  6. Step 6: Final answer
    x = 999,530.61

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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.