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Finding the Third Proportional to 405,733 and 631,563

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Solution

The third proportional to 405,733 and 631,563 is: 983,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,733 : 631,563 = 631,563 : x
  2. Step 2: Convert to fraction form
    405,733/631,563 = 631,563/x
  3. Step 3: Cross multiply
    405,733x = 631,563 × 631,563
  4. Step 4: Simplify right side
    405,733x = 398,871,822,969
  5. Step 5: Solve for x
    x = 398,871,822,969/405,733
  6. Step 6: Final answer
    x = 983,089.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.