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Finding the Third Proportional to 420,255 and 628,894

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Solution

The third proportional to 420,255 and 628,894 is: 941,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,255 : 628,894 = 628,894 : x
  2. Step 2: Convert to fraction form
    420,255/628,894 = 628,894/x
  3. Step 3: Cross multiply
    420,255x = 628,894 × 628,894
  4. Step 4: Simplify right side
    420,255x = 395,507,663,236
  5. Step 5: Solve for x
    x = 395,507,663,236/420,255
  6. Step 6: Final answer
    x = 941,113.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.