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Finding the Third Proportional to 405,558 and 631,260

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Solution

The third proportional to 405,558 and 631,260 is: 982,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,558 : 631,260 = 631,260 : x
  2. Step 2: Convert to fraction form
    405,558/631,260 = 631,260/x
  3. Step 3: Cross multiply
    405,558x = 631,260 × 631,260
  4. Step 4: Simplify right side
    405,558x = 398,489,187,600
  5. Step 5: Solve for x
    x = 398,489,187,600/405,558
  6. Step 6: Final answer
    x = 982,570.16

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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.