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Finding the Third Proportional to 534,962.25 and 831,009

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Solution

The third proportional to 534,962.25 and 831,009 is: 1,290,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,962.25 : 831,009 = 831,009 : x
  2. Step 2: Convert to fraction form
    534,962.25/831,009 = 831,009/x
  3. Step 3: Cross multiply
    534,962.25x = 831,009 × 831,009
  4. Step 4: Simplify right side
    534,962.25x = 690,575,958,081
  5. Step 5: Solve for x
    x = 690,575,958,081/534,962.25
  6. Step 6: Final answer
    x = 1,290,887.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.