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Finding the Third Proportional to 440,365 and 674,763

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Solution

The third proportional to 440,365 and 674,763 is: 1,033,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,365 : 674,763 = 674,763 : x
  2. Step 2: Convert to fraction form
    440,365/674,763 = 674,763/x
  3. Step 3: Cross multiply
    440,365x = 674,763 × 674,763
  4. Step 4: Simplify right side
    440,365x = 455,305,106,169
  5. Step 5: Solve for x
    x = 455,305,106,169/440,365
  6. Step 6: Final answer
    x = 1,033,926.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.