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Finding the Third Proportional to 398,657 and 633,950

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Solution

The third proportional to 398,657 and 633,950 is: 1,008,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,657 : 633,950 = 633,950 : x
  2. Step 2: Convert to fraction form
    398,657/633,950 = 633,950/x
  3. Step 3: Cross multiply
    398,657x = 633,950 × 633,950
  4. Step 4: Simplify right side
    398,657x = 401,892,602,500
  5. Step 5: Solve for x
    x = 401,892,602,500/398,657
  6. Step 6: Final answer
    x = 1,008,116.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.