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Finding the Third Proportional to 270,459 and 405,729

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Solution

The third proportional to 270,459 and 405,729 is: 608,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,459 : 405,729 = 405,729 : x
  2. Step 2: Convert to fraction form
    270,459/405,729 = 405,729/x
  3. Step 3: Cross multiply
    270,459x = 405,729 × 405,729
  4. Step 4: Simplify right side
    270,459x = 164,616,021,441
  5. Step 5: Solve for x
    x = 164,616,021,441/270,459
  6. Step 6: Final answer
    x = 608,654.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.