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Finding the Third Proportional to 403,870 and 633,609

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Solution

The third proportional to 403,870 and 633,609 is: 994,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,870 : 633,609 = 633,609 : x
  2. Step 2: Convert to fraction form
    403,870/633,609 = 633,609/x
  3. Step 3: Cross multiply
    403,870x = 633,609 × 633,609
  4. Step 4: Simplify right side
    403,870x = 401,460,364,881
  5. Step 5: Solve for x
    x = 401,460,364,881/403,870
  6. Step 6: Final answer
    x = 994,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.