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Finding the Third Proportional to 411,242 and 628,527

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Solution

The third proportional to 411,242 and 628,527 is: 960,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,242 : 628,527 = 628,527 : x
  2. Step 2: Convert to fraction form
    411,242/628,527 = 628,527/x
  3. Step 3: Cross multiply
    411,242x = 628,527 × 628,527
  4. Step 4: Simplify right side
    411,242x = 395,046,189,729
  5. Step 5: Solve for x
    x = 395,046,189,729/411,242
  6. Step 6: Final answer
    x = 960,617.32

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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.