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Finding the Third Proportional to 398,255 and 630,926

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Solution

The third proportional to 398,255 and 630,926 is: 999,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,255 : 630,926 = 630,926 : x
  2. Step 2: Convert to fraction form
    398,255/630,926 = 630,926/x
  3. Step 3: Cross multiply
    398,255x = 630,926 × 630,926
  4. Step 4: Simplify right side
    398,255x = 398,067,617,476
  5. Step 5: Solve for x
    x = 398,067,617,476/398,255
  6. Step 6: Final answer
    x = 999,529.49

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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.