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Finding the Third Proportional to 403,958 and 626,351.25

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Solution

The third proportional to 403,958 and 626,351.25 is: 971,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,958 : 626,351.25 = 626,351.25 : x
  2. Step 2: Convert to fraction form
    403,958/626,351.25 = 626,351.25/x
  3. Step 3: Cross multiply
    403,958x = 626,351.25 × 626,351.25
  4. Step 4: Simplify right side
    403,958x = 392,315,888,376.56
  5. Step 5: Solve for x
    x = 392,315,888,376.56/403,958
  6. Step 6: Final answer
    x = 971,179.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.