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Finding the Third Proportional to 305,937 and 440,640

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Solution

The third proportional to 305,937 and 440,640 is: 634,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,937 : 440,640 = 440,640 : x
  2. Step 2: Convert to fraction form
    305,937/440,640 = 440,640/x
  3. Step 3: Cross multiply
    305,937x = 440,640 × 440,640
  4. Step 4: Simplify right side
    305,937x = 194,163,609,600
  5. Step 5: Solve for x
    x = 194,163,609,600/305,937
  6. Step 6: Final answer
    x = 634,652.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.